$$ \left(\frac{3}{4}-a ight) imes 4 $$ for $$ a=\frac{1}{5} $$

Question

$$ \left(\frac{3}{4}-aight) 	imes 4 $$ for $$ a=\frac{1}{5} $$

UpStudy AI · Accepted Answer

Substitute $$ a=\frac{1}{5} $$ into the expression:

$$
\left(\frac{3}{4} - a\right) \times 4 = \left(\frac{3}{4} - \frac{1}{5}\right) \times 4
$$

Find a common denominator for the fractions inside the parentheses. The denominators are 4 and 5, so the common denominator is 20:

$$
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}, \quad \frac{1}{5} = \frac{1 \times 4}{5 \times 4} = \frac{4}{20}
$$

Subtract the fractions:

$$
\frac{15}{20} - \frac{4}{20} = \frac{15-4}{20} = \frac{11}{20}
$$

Now, multiply by 4:

$$
\frac{11}{20} \times 4 = \frac{11 \times 4}{20} = \frac{44}{20}
$$

Simplify the fraction by dividing numerator and denominator by 4:

$$
\frac{44 \div 4}{20 \div 4} = \frac{11}{5}
$$

Thus, the final answer is:

$$
\frac{11}{5}
$$
The final answer is $$ \frac{11}{5} $$.

\( \left(\frac{3}{4}-a\right) \times 4 \) for \( a=\frac{1}{5} \)