Fraction Problems Quiz

Write 16 as a fraction of 90.

• 16/90

• 8/45

• 4/15

• 2/9

Answer explanation

To express 16 as a fraction of 90, simply write it as 16/90. This is the direct representation of the relationship between the two numbers, making 16/90 the correct choice.

Calculate 2/5 of £380.

• £76

• £152

• £190

• £228

Answer explanation

To calculate 2/5 of £380, multiply £380 by 2/5. This equals £380 * 0.4 = £152. Therefore, the correct answer is £152.

Simplify 48/64.

• 3/4

• 4/5

• 6/8

• 5/6

Answer explanation

To simplify 48/64, divide both the numerator and denominator by their greatest common divisor, which is 16. This gives 48 ÷ 16 = 3 and 64 ÷ 16 = 4, resulting in 3/4, the correct answer.

Add 3/4 + 5/7.

• 41/28

• 8/11

• 15/28

• 2/3

Answer explanation

To add 3/4 and 5/7, find a common denominator, which is 28. Convert 3/4 to 21/28 and 5/7 to 20/28. Adding these gives 41/28, which is the correct answer.

Multiply 7/8 × 3/4.

• 21/32

• 9/16

• 5/8

• 7/12

Answer explanation

To multiply fractions, multiply the numerators and the denominators: (7 × 3) / (8 × 4) = 21/32. Thus, the correct answer is 21/32.

Answer explanation

To convert the mixed number \(5 \frac{1}{2}\) to an improper fraction, multiply the whole number (5) by the denominator (2) and add the numerator (1): \(5 \times 2 + 1 = 11\). Thus, it becomes \(\frac{11}{2}\).

Answer explanation

To add the fractions, convert mixed numbers to improper fractions: $2 \frac{1}{4} = \frac{9}{4}$ and $5 \frac{1}{2} = \frac{11}{2} = \frac{22}{4}$. Now, add: $\frac{9}{4} + \frac{22}{4} = \frac{31}{4} = 7 \frac{3}{4}$. The correct answer is $8 \frac{3}{4}$.

Answer explanation

To subtract, convert mixed numbers to improper fractions: 3 2/3 = 11/3 and 1 11/20 = 31/20. Find a common denominator (60): 11/3 = 220/60 and 31/20 = 93/60. Now, 220/60 - 93/60 = 127/60 = 2 7/60. Thus, 1 19/60 is the correct answer.

• They are equal

• Cannot be determined

Answer explanation

To compare \( \frac{7}{5} \) and \( 1 \frac{1}{3} \), convert \( 1 \frac{1}{3} \) to an improper fraction: \( 1 \frac{1}{3} = \frac{4}{3} \). Since \( \frac{7}{5} = 1.4 \) and \( \frac{4}{3} \approx 1.33 \), \( \frac{7}{5} \) is larger.

Answer explanation

To compare the fractions, convert them to decimals: \(\frac{11}{2} = 5.5\), \(\frac{23}{4} = 5.75\), \(\frac{37}{7} \approx 5.29\). The order from smallest to largest is \(\frac{11}{2}, \frac{37}{7}, \frac{23}{4}\). Thus, the correct choice is \(\frac{11}{2}, \frac{23}{4}, \frac{37}{7}\).