Question

Choose Yes or No to tell if the fraction will make each equation true.63 X = 28Choosev25 x 0 = 14Choose.

Answer 1

To determine if 4/9 makes the equations true, you have to solve the multiplications. If the result is the same as the given one, then 4/9 makes the equation true.

First equation:

$63\cdot x=28_{}$

$63\cdot\frac{4}{9}$

To multiply a fraction by a whole number, you have to multiply the whole number by the numerator and then divide the result by the denominator:

$63\cdot\frac{4}{9}=\frac{63\cdot4}{9}=\frac{252}{9}=28$

The result is 28, which means that 4/9 makes the equation true. The answer is YES.

Second equation:

$25\cdot x=14$

Multiply 25 by 4/9

$25\cdot\frac{4}{9}=\frac{25\cdot4}{9}=\frac{100}{9}\cong11.\bar{1}$

The result is different from 14, which means that 4/9 doesn't make the equation true. The answer is NO.