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(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(4)/(9)=(63\cdot4)/(9)=(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(4)/(9)=(25\cdot4)/(9)=(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.