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Home / Practice / Maths
The same amount in three forms, and how to compare them once they match.
Question 1 of 12
Which of these is the largest?
They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 1/5 = 0.2, 0.35 = 0.35, 1/2 = 0.5. Now the order is obvious, and the largest is 1/2. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Convert everything to decimals. It is the common language of all three forms.
The answer is A. They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 1/5 = 0.2, 0.35 = 0.35, 1/2 = 0.5. Now the order is obvious, and the largest is 1/2. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Convert everything to decimals. It is the common language of all three forms.
Which of these is the smallest?
They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 3/5 = 0.6, 0.7 = 0.7, 3/4 = 0.75. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
The answer is D. They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 3/5 = 0.6, 0.7 = 0.7, 3/4 = 0.75. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
They cannot be compared while they are in different forms, so turn them all into decimals first: 1/5 = 0.2, 0.35 = 0.35, 1/2 = 0.5, 65% = 0.65. Now the order is obvious, and the smallest is 1/5. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
The answer is A. They cannot be compared while they are in different forms, so turn them all into decimals first: 1/5 = 0.2, 0.35 = 0.35, 1/2 = 0.5, 65% = 0.65. Now the order is obvious, and the smallest is 1/5. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 0.25 = 0.25, 2/5 = 0.4, 1/2 = 0.5. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
The answer is D. They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 0.25 = 0.25, 2/5 = 0.4, 1/2 = 0.5. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. A percentage divided by 100 is its decimal. That is the whole conversion.
Write 1/5 as a percentage.
A fraction is a division: 1/5 means 1 ÷ 5 = 0.2. A percentage is hundredths, so multiply by 100: 0.2 × 100 = 20, giving 20%. Another route is to make the bottom 100: 1/5 = 20/100, and hundredths *are* percentages. Per cent means "out of a hundred". Reading it that way makes the conversion obvious.
The answer is D. A fraction is a division: 1/5 means 1 ÷ 5 = 0.2. A percentage is hundredths, so multiply by 100: 0.2 × 100 = 20, giving 20%. Another route is to make the bottom 100: 1/5 = 20/100, and hundredths *are* percentages. Per cent means "out of a hundred". Reading it that way makes the conversion obvious.
They cannot be compared while they are in different forms, so turn them all into decimals first: 1/5 = 0.2, 0.25 = 0.25, 65% = 0.65, 3/4 = 0.75. Now the order is obvious, and the largest is 3/4. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Convert everything to decimals. It is the common language of all three forms.
The answer is B. They cannot be compared while they are in different forms, so turn them all into decimals first: 1/5 = 0.2, 0.25 = 0.25, 65% = 0.65, 3/4 = 0.75. Now the order is obvious, and the largest is 3/4. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Convert everything to decimals. It is the common language of all three forms.
They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 2/5 = 0.4, 1/2 = 0.5, 3/4 = 0.75. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
The answer is B. They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 2/5 = 0.4, 1/2 = 0.5, 3/4 = 0.75. Now the order is obvious, and the smallest is 8%. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 0.35 = 0.35, 65% = 0.65, 0.7 = 0.7. Now the order is obvious, and the largest is 0.7. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
The answer is A. They cannot be compared while they are in different forms, so turn them all into decimals first: 8% = 0.08, 0.35 = 0.35, 65% = 0.65, 0.7 = 0.7. Now the order is obvious, and the largest is 0.7. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
Write 1/5 as a decimal.
A fraction is a division: 1/5 means 1 ÷ 5 = 0.2. That division is the answer: 0.2. Writing the digits of the fraction side by side, as 1.5, is a tempting shortcut and always wrong. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
The answer is C. A fraction is a division: 1/5 means 1 ÷ 5 = 0.2. That division is the answer: 0.2. Writing the digits of the fraction side by side, as 1.5, is a tempting shortcut and always wrong. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
They cannot be compared while they are in different forms, so turn them all into decimals first: 2/5 = 0.4, 0.45 = 0.45, 1/2 = 0.5, 3/4 = 0.75. Now the order is obvious, and the smallest is 2/5. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
The answer is C. They cannot be compared while they are in different forms, so turn them all into decimals first: 2/5 = 0.4, 0.45 = 0.45, 1/2 = 0.5, 3/4 = 0.75. Now the order is obvious, and the smallest is 2/5. Comparing a fraction against a percentage by eye is guesswork, however confident it feels. Give every decimal the same number of places before comparing, padding with zeros.
Write 2/5 as a decimal.
A fraction is a division: 2/5 means 2 ÷ 5 = 0.4. That division is the answer: 0.4. Writing the digits of the fraction side by side, as 2.5, is a tempting shortcut and always wrong. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
The answer is D. A fraction is a division: 2/5 means 2 ÷ 5 = 0.4. That division is the answer: 0.4. Writing the digits of the fraction side by side, as 2.5, is a tempting shortcut and always wrong. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
Write 3/4 as a percentage.
A fraction is a division: 3/4 means 3 ÷ 4 = 0.75. A percentage is hundredths, so multiply by 100: 0.75 × 100 = 75, giving 75%. Another route is to make the bottom 100: 3/4 = 75/100, and hundredths *are* percentages. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
The answer is C. A fraction is a division: 3/4 means 3 ÷ 4 = 0.75. A percentage is hundredths, so multiply by 100: 0.75 × 100 = 75, giving 75%. Another route is to make the bottom 100: 3/4 = 75/100, and hundredths *are* percentages. The few conversions worth knowing by heart are the halves, quarters, fifths, eighths and tenths. They cover almost every question asked.
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