Test: Operations with fractions - Year 7 MCQ

Convert the fractions:

• 3/5 = (3 × 4)/(5 × 4) = 12/20
• 1/4 = (1 × 5)/(4 × 5) = 5/20
• Subtract: 12/20 - 5/20 = 7/20.

Thus, the answer is 7/20.

Convert the fractions:

• 3/4 = (3 × 5)/(4 × 5) = 15/20
• 1/5 = (1 × 4)/(5 × 4) = 4/20
• Subtract: 15/20 - 4/20 = 11/20.

Thus, the answer is 11/20.

To find the LCM of the denominators 4 and 5 in 3/4 - 1/5, identify the smallest number divisible by both. The multiples of 4 are 4, 8, 12, 16, 20, and of 5 are 5, 10, 15, 20. The smallest common multiple is 20. Thus, the answer is 20.

To find how many sixths are in 35/6, divide 35/6 by 1/6:

• 35/6 ÷ 1/6 = 35/6 × 6/1 = 35.
• Thus, there are 35 sixths in 35/6.

The answer is 35.

A proper fraction has a numerator that is less than the denominator. In 3/5, 3 (numerator) is less than 5 (denominator), so it is a proper fraction.

To find equivalent fractions, multiply or divide both the numerator and the denominator by the same number. Here, 2/3 is equivalent to 4/6 because 

To determine how many sixths are in 32/3, follow these steps:

1. Understand the Question:

We want to find out how many parts of 1/6 are present in 32/3.

2. Set Up the Division:

To find the number of sixths in 32/3, divide 32/3 by 1/6:

32/3 ÷ 1/6

3. Perform the Division:

Dividing by a fraction is the same as multiplying by its reciprocal. So:

32/3 × 6/1 = (32 × 6) / (3 × 1) = 192 / 3

4. Simplify the Fraction:

192 / 3 = 64

5. Final Answer:

There are 64 sixths in 32/3.

An improper fraction has a numerator that is equal to or greater than the denominator. 5/2 has 5 (numerator) greater than 2 (denominator), making it an improper fraction.