Question

By what number should 10 2/3 be divided to obtain 20 ?​

Answer 1

Answer:

8/15

Step-by-step explanation:

Let the no. be x

A/Q

10 2/3 ÷ x = 20

⇒ 32/3 × 1/x = 20

⇒ 32/3x = 20

⇒ 32 = 60x

⇒ 32/60 = x

[∵Divide 32 & 60 with 4]

⇒ 8/15 = x

⇒ 0.53 ≈ x

Answer 2

$let \: the \: number \: be \: x \\ \\ according \: to \: the \: problem \\ \\ 10\frac{2}{3} \div x = 20 \\ \\ \frac{32}{3} \div x = 20 \\ \\ \frac{32}{3} \times \frac{1}{x} = 20 \\ \\ \frac{32}{3x} = 20 \\ \\ \frac{3x}{32} = \frac{1}{20} \\ \\ 3x = \frac{1}{20} \times 32 \\ \\ 3x = \frac{32}{20} \\ \\ x = \frac{32}{20 \times 3} \\ \\ x = \frac{32}{60} \\ \\ x = \frac{8}{15}$