Question

Simplify each of the following ratios in its simplest form. .1.44 : 0.48 .15/28:18/7 .2.4:6/5

Answer 1

Answer:

Part 1) $\frac{3}{1}$  or $3:1$

Part 2) $\frac{5}{24}$  or $5:24$

Part 3) $\frac{6}{5}$  or $6:5$

Step-by-step explanation:

Part 1) we have

$1.44 : 0.48$

Rewrite

$\frac{1.44}{0.48}$

Multiply by 100 both numerator and denominator

$\frac{144}{48}$

Simplify

$\frac{3}{1}$  or $3:1$

Part 2) we have

$15/28:18/7$

Multiply the term 18/7 by 4 both numerator and denominator

$\frac{18*4}{7*4}=\frac{72}{28}$

substitute

$15/28:72/28$

simplify

$15:72$

Rewrite

$\frac{15}{72}$

Simplify

$\frac{5}{24}$  or $5:24$

Part 3) we have

$2.4:6/5$

Remember that

$6/5=1.2$

substitute

$2.4:1.2$

Simplify

Divide by 1.2 both numbers

$1.2:1$

Rewrite

$\frac{1.2}{1}$

Multiply by 10 both numerator and denominator

$\frac{1.2*10}{1*10}=\frac{12}{10}$

Simplify

$\frac{6}{5}$  or $6:5$