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Fractions 2 (Medium)

Fractions are an important part of maths. This 11 Plus quiz helps you compare and simplify fractions, making sure you understand how they relate to each other.

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Fascinating Fact:

When fractions have different denominators, you can only compare them fairly once they share a common base, like comparing slices of the same size pizza.

In 11 Plus Maths, pupils learn to compare, order, and simplify fractions. Understanding equivalent fractions helps students see how different numbers can represent the same value.

Key Terms

Denominator: The bottom number in a fraction, showing how many equal parts the whole is divided into.
Numerator: The top number in a fraction, showing how many parts are being used or counted.
Equivalent Fractions: Fractions that look different but have the same overall value, such as one half and two quarters.

To see examples of real 11 Plus-style questions, read our Guide to 11 Plus Sample Questions for Parents .

Frequently Asked Questions (Click to see answers)

How do you compare fractions?

To compare fractions, make the denominators the same and then look at the numerators. The fraction with the larger numerator is the greater one.

What are equivalent fractions?

Equivalent fractions are fractions that have the same value even though they use different numbers, like one half and two quarters.

Why is finding a common denominator useful?

Finding a common denominator makes it easier to compare or add fractions because they are all measured in the same-sized parts.

Try These Related Quizzes

1 .

How many nineteenths are there in 3?

There are 19 nineteenths in 1, so there are 19 × 3 = 57 nineteenths in 3. In general, the number in the denominator tells you how many fractions of that type are needed to make 1. For example, you need three thirds, 1?3, to make 1, but you need ten tenths, 1?10, to make 1 and so on. REMEMBER this stuff, and you won't get confused with fractions

2 .

What is 7 ¹⁴⁄₂₁ as an improper fraction?

²⁴⁄₃

¹⁵⁰⁄₂₁

⁵³⁄₇

²³⁄₃

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 7 × 21 = 147. STEP 2: 147 + 14 = 161. STEP 3: ¹⁶¹?₂₁. This can then be simplified by dividing denominator and numerator by the same number, in this case 7, to give ²³?₃

3 .

What is ⁹⁄₁₀ - ²⁄₅ + ³⁄₂?

2 ¹⁄₁₅

1 ⁴⁄₅

2 ¹⁄₁₀

⁹?₁₀ - ²?₅ is the same as ⁹?₁₀ - ⁴?₁₀ = ⁵?₁₀. ⁵?₁₀ can be simplified by dividing denominator and numerator by the same number, in this case 5, to give ¹?₂. Then ¹?₂ + ³?₂ = ⁴?₂. Simplify this by dividing denominator and numerator by the same number, in this case 2, to give ²?₀ = 2

4 .

What is ⁴⁄₅ of 45?

Of means multiply in this case: ⁴?₅ × 45 = (4 × 45) ÷ 5 = 180 ÷ 5 = 36. Do the brackets first.

5 .

What is ⁹⁄₇ of 49?

Of means multiply in this case: ⁹?₇ × 49 = (9 × 49) ÷ 7 = 441 ÷ 7 = 63. ⁹?₇ is greater than 1, so the answer will be more than 49

6 .

Which is greater: ¹⁄₇ x ¹⁄₄, or ¹⁄₉ x ¹⁄₃?

¹⁄₉ x ¹⁄₃

¹⁄₇ x ¹⁄₄

They are equal in value

Not enough information to answer

To multiply fractions, times the numerators by each other, and the denominators by each other: ¹?₇ x ¹?₄ = ¹?₂₈
¹?₉ x ¹?₃ = ¹?₂₇

7 .

What is ⁵²⁄₁₃ as a mixed fraction?

3 ¹²⁄₁₃

4 ¹⁄₁₃

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 52 ÷ 13 = 4. STEP 2: Remainder 0. STEP 3: 4. If there is no remainder then the answer will be a whole number

8 .

What is 4 ⁷⁄₈ as an improper fraction?

⁹⁄₂

³⁹⁄₈

¹⁹⁄₄

³⁷⁄₈

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 4 × 8 = 32. STEP 2: 32 + 7 = 39. STEP 3: ³⁹?₈

9 .

What is ¹⁸⁄₄ as a mixed fraction?

4 ¹⁄₄

4 ¹⁄₂

4 ³⁄₄

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 18 ÷ 4 = 4. STEP 2: Remainder 2. STEP 3: 4 ²?₄. 4 ²?₄ can be simplified by dividing the denominator and numerator by the same number, in this case 2, to give 4 ¹?₂

10 .

What is ²⁄₃ + ⁴⁄₆ + ⁸⁄₉?

2 ²⁄₃

2 ⁷⁄₉

2 ²⁄₉