Question

the product of the rational numbers 2/25 and 5/4 is​

Answer 1

Answer:

$\frac{2}{25}\cdot \frac{5}{4}=\frac{1}{10}\quad \left(\mathrm{Decimal:\quad }\:0.1\right)$

Step-by-step explanation:

$\frac{2}{25}\cdot \frac{5}{4}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$=\frac{2\cdot \:5}{25\cdot \:4}$

$\mathrm{Factor\:the\:number:\:}\:4=2\cdot \:2$

$=\frac{2\cdot \:5}{25\cdot \:2\cdot \:2}$

$\mathrm{Cancel\:the\:common\:factor:}\:2$

$=\frac{5}{25\cdot \:2}$

$\mathrm{Cancel\:the\:numbers:}\:\frac{5}{25}=\frac{1}{5}$

$=\frac{1}{5\cdot \:2}$

$\mathrm{Multiply\:the\:numbers:}\:5\cdot \:2=10$

$=\frac{1}{10}$

$\mathrm{HOPE\ IT\ HELPS\ YOU}$

Answer 2

Solution is in attachment ↑↑↑

Hope it will help you.