Solve 3/5(a+5.25)=7.35

$$\frac { 3 } { 5 } ( a + 5.25 ) = 7.35$$

Solve for a

$$a=7$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$a+5.25=7.35\times \frac{5}{3}$$

Convert decimal number 7.35 to fraction \frac{735}{100}. Reduce the fraction \frac{735}{100} to lowest terms by extracting and canceling out 5.

$$a+5.25=\frac{147}{20}\times \frac{5}{3}$$

Multiply \frac{147}{20} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$a+5.25=\frac{147\times 5}{20\times 3}$$

Do the multiplications in the fraction \frac{147\times 5}{20\times 3}.

$$a+5.25=\frac{735}{60}$$

Reduce the fraction \frac{735}{60} to lowest terms by extracting and canceling out 15.

$$a+5.25=\frac{49}{4}$$

Subtract 5.25 from both sides.

$$a=\frac{49}{4}-5.25$$

Convert decimal number 5.25 to fraction \frac{525}{100}. Reduce the fraction \frac{525}{100} to lowest terms by extracting and canceling out 25.

$$a=\frac{49}{4}-\frac{21}{4}$$

Since \frac{49}{4} and \frac{21}{4} have the same denominator, subtract them by subtracting their numerators.

$$a=\frac{49-21}{4}$$

Subtract 21 from 49 to get 28.

$$a=\frac{28}{4}$$

Divide 28 by 4 to get 7.

$$a=7$$