Question

How can you check if two fractions are equivalent?

Answer 1

Step-by-step explanation:

Say you have these 2 fractions

$\frac{a}{b} .........\frac{c}{d}$

Cross multiply as following;

$\frac{(b)(c)}{(a)(d)}=\frac{bc}{ad}$

If in the end, both numerator and denominator are equal, then the fractions are equivalent.

Examples:

Example 1

$\frac{20}{24}...........\frac{5}{6}$

Cross multiply

$\frac{(24)(5)}{(20)(6)}=\frac{120}{120}$

They're equivalent.

Example 2

$\frac{20}{24}........\frac{3}{4}$

Cross multiply

$\frac{(24)(3)}{(20)(4)} =\frac{72}{80}$

They're not equivalent.