Question

in each example below, find the ratio of the first number to the second (1) 24,56

Answer 1

24:56
24/56

Hcf of both no. Is 8.
24/8 : 56/8
3:7.

Answer 2

Given:

24,56

To Find:

find the ratio of the first number to the second

Solution:

A ratio is a way to compare two quantities of the same unit of measurement and is expressed as a:b and is also equivalent to the fraction form of a/b.

To simplify a ratio we first express in the fraction form and then divide the numerator and denominator with the HCF of the two numbers.

The given numbers are 24 and 56, in ratio form it can be expressed as,

24:56 which is equivalent to,

$=24:56\\\\=\frac{24}{56}$

Now simplifying the ratio,

HCF of 24,56 will be by factorization method,

24=2*2*2*3

56=2*2*2*7

HCF=2*2*2

      =8

So now dividing the numerator and denominator with 8 we have,

$=\frac{24}{56} \\\\=\frac{24\div 8}{56\div 8} \\\\=\frac{3}{7}$

So the ratio is 3:7

Hence, the ratio will be 3:7.