Compute 4/15 × 25/16. Give your answer in simplest form.

5/12. Cancel before multiplying: 4 and 16 leave 1/4, and 25 and 15 leave 5/3. So the product is 1/4 × 5/3 = 5/12 (check: 100/240 = 5/12). Adding across gives 29/31; flipping the second fraction and dividing gives 64/375.

Compute $\frac{4}{15} \times \frac{25}{16}$ . Give your answer in simplest form.

Class 7Fractions and DecimalsFractions and Decimals

A $\frac{29}{31}$
B $\frac{5}{12}$
C $\frac{64}{375}$
D $\frac{12}{5}$

Step-by-Step Solution

Cancel before multiplying: 4 and 16 leave

\frac{1}{4}

, and 25 and 15 leave

\frac{5}{3}

. So the product is

\frac{1}{4} \times \frac{5}{3} = \frac{5}{12}

(check:

\frac{100}{240} = \frac{5}{12}

). Adding across gives

\frac{29}{31}

; flipping the second fraction and dividing gives

\frac{64}{375}

Answer: B)

\frac{5}{12}

Key idea: Multiplying fractions

**Multiply numerators. Multiply denominators. Simplify.**

(a / b) \times (c / d) = (a \times c) / (b \times d)

.

Examples:

(2/3) \times (4/5) = (2 \times 4) / (3 \times 5) = 8/15. (3/4) \times 8 = (3 \times 8) /4 = 24/4 = 6. (1/2) \times (1/2) = 1/4

.

**Word 'of' = multiplication.** '1/3 of 90' =

(1/3) \times 90 = 30

. '2/5 of the class' = (2/5) × class size.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Fractions and Decimals practice questions

More Class 7 Fractions and Decimals practice

A cooking gas cylinder with gas in it weighs 29.5 kg. The empty cylinder weighs 15.75…Which of these fractions lies closest to 1?Without working out every answer in full, decide which of these products is the LARGEST.A milk jug is 1/3 full. Sunita pours in more milk until the jug is 4/5 full. What…The number 5.6 is first divided by 10, and the result is then multiplied by 100. What is…

Compute 154​×1625​. Give your answer in simplest form.

Step-by-Step Solution

Key idea: Multiplying fractions

Master this chapter in 30 minutes a day.

More Class 7 Fractions and Decimals practice

Compute $\frac{4}{15} \times \frac{25}{16}$ . Give your answer in simplest form.