Solve 4.8div8/3+5.2*3/8

$$4.8 \div \frac{ 8 }{ 3 } +5.2 \times \frac{ 3 }{ 8 }$$

Evaluate

$$3.75$$

Solution Steps

Divide 4.8 by \frac{8}{3} by multiplying 4.8 by the reciprocal of \frac{8}{3}.

$$4.8\times \frac{3}{8}+5.2\times \frac{3}{8}$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}\times \frac{3}{8}+5.2\times \frac{3}{8}$$

Multiply \frac{24}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 3}{5\times 8}+5.2\times \frac{3}{8}$$

Do the multiplications in the fraction \frac{24\times 3}{5\times 8}.

$$\frac{72}{40}+5.2\times \frac{3}{8}$$

Reduce the fraction \frac{72}{40} to lowest terms by extracting and canceling out 8.

$$\frac{9}{5}+5.2\times \frac{3}{8}$$

Convert decimal number 5.2 to fraction \frac{52}{10}. Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}+\frac{26}{5}\times \frac{3}{8}$$

Multiply \frac{26}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{5}+\frac{26\times 3}{5\times 8}$$

Do the multiplications in the fraction \frac{26\times 3}{5\times 8}.

$$\frac{9}{5}+\frac{78}{40}$$

Reduce the fraction \frac{78}{40} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}+\frac{39}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{9}{5} and \frac{39}{20} to fractions with denominator 20.

$$\frac{36}{20}+\frac{39}{20}$$

Since \frac{36}{20} and \frac{39}{20} have the same denominator, add them by adding their numerators.

$$\frac{36+39}{20}$$

Add 36 and 39 to get 75.

$$\frac{75}{20}$$

Reduce the fraction \frac{75}{20} to lowest terms by extracting and canceling out 5.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$