College

Complete the sentence to explain how to use mental math to express [tex]\frac{12}{25}[/tex] as a percent.

Multiply the numerator and the denominator by [tex]\square[/tex] to get [tex]\square[/tex].

[tex]\qquad[/tex]

[tex]100[/tex], which is the same as [tex]\square \%[/tex].

Answer :

To express [tex]$\frac{12}{25}$[/tex] as a percent using mental math, follow these steps:

1. Notice that the denominator [tex]$25$[/tex] can become [tex]$100$[/tex] by multiplying by [tex]$4$[/tex], because [tex]$25 \times 4 = 100$[/tex].

2. Multiply both the numerator and the denominator by [tex]$4$[/tex]:

[tex]$$\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100}.$$[/tex]

3. Since [tex]$\frac{48}{100}$[/tex] means [tex]$48$[/tex] parts out of [tex]$100$[/tex], this is equivalent to [tex]$48\%$[/tex].

Thus, multiplying by [tex]$4$[/tex], we have:

- Multiply by: [tex]$4$[/tex]
- Fraction: [tex]$\frac{48}{100}$[/tex]
- Percent: [tex]$48\%$[/tex]