Simppfying a Ratio of Decimals

We have ratios of whole numbers and ratios of decimal numbers too. It is required that ratios in simppfied form have whole numbers.

Rules to simppfy a ratio of decimals

To simppfy a ratio of decimals we remove the decimal point and reduce the ratio to a ratio of whole numbers.

We multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to epminate the decimal.

Then the fraction is simppfied to be in its lowest terms.

This gives simppfied ratio of decimals as a ratio of whole numbers in simplest form.

Simppfy the ratio 4.8:5.6

Solution

Step 1:

The ratio $4.8:5.6 = frac{4.8}{5.6}$

Step 2:

We multiply and spanide the fraction by 10

$frac{4.8}{5.6} = frac{left ( 4.8 imes 10 ight )}{left ( 5.6 imes 10 ight )} = frac{48}{56}$

Step 3:

HCF of 48 and 56 is 8

Simppfying

$frac{left ( frac{48}{8} ight )}{left ( frac{56}{8} ight )} = frac{6}{7} space or space 6:7$

Step 4:

So, the simppfied ratio of 4.8:5.6 is 6:7

Simppfy the ratio 6.3:1.89

Solution

Step 1:

The ratio $6.3:1.89 = frac{6.3}{1.89}$

Step 2:

We multiply and spanide the fraction by 100

$frac{6.3}{1.89} = frac{left ( 6.3 imes 100 ight )}{left ( 1.89 imes 100 ight )} = frac{630}{189}$

Step 3:

HCF of 630 and 189 is 63

Simppfying

$frac{left ( frac{630}{63} ight )}{left ( frac{189}{63} ight )} = frac{10}{3} space or space 10:3$

Step 4:

So, the simppfied ratio of 6.3:1.89 is 10:3