Question

3/4 of 1. 16 2. 36 say the answer by step by step explanation​

Answer 1

Concepts Used

In this question, we need to know:

→ What 'of' stands for: 'Of' represents multiplication. For example,

• 1/4 of 3 = 1/4 × 3
• 2/3 of 9 = 2/3 × 9

→ How to multiply fractions: Fractions can be multiplied by:

1. Multiplying the numerators and
2. Multiplying the denominators

The product of the numerators would be the numerator of the new fraction and the product of the denominators would be the denominator of the new fraction.

Part 1

To find:

$\sf{\dfrac{3}{4}\:of\:16}$

Answer:

We replace 'of' with '×'. So,

$\sf{\Rightarrow \dfrac{3}{4}\times16}$

$\sf{\Rightarrow \dfrac{3\times16}{4}}$

We simplify the fraction by dividing it with the common factor 4,

$\sf{\Rightarrow \dfrac{3\times4}{1}}$

$\sf{\Rightarrow 12}$

$\bf{Thus,\:\dfrac{3}{4}\:of\:16\:is\:12.}$

Part 2

To find:

$\sf{\dfrac{3}{4}\:of\:36}$

Answer:

Same process, replacing 'of' with '×':

$\sf{\Rightarrow \dfrac{3}{4}\times36}$

$\sf{\Rightarrow \dfrac{3\times36}{4}}$

Again, we can divide the numerator and the denominator by 4, their highest common factor:

$\sf{\Rightarrow \dfrac{3\times9}{1}$

$\sf{\Rightarrow 27}$

$\bf{Thus,\:\dfrac{3}{4}\:of\:36\:is\:27.}$