Solve 76*3/5+23div5/3+0.6

$$76 \times \frac{ 3 }{ 5 } +23 \div \frac{ 5 }{ 3 } +0.6$$

Evaluate

$$60$$

Solution Steps

Express 76\times \frac{3}{5} as a single fraction.

$$\frac{76\times 3}{5}+\frac{23}{\frac{5}{3}}+0.6$$

Multiply 76 and 3 to get 228.

$$\frac{228}{5}+\frac{23}{\frac{5}{3}}+0.6$$

Divide 23 by \frac{5}{3} by multiplying 23 by the reciprocal of \frac{5}{3}.

$$\frac{228}{5}+23\times \frac{3}{5}+0.6$$

Express 23\times \frac{3}{5} as a single fraction.

$$\frac{228}{5}+\frac{23\times 3}{5}+0.6$$

Multiply 23 and 3 to get 69.

$$\frac{228}{5}+\frac{69}{5}+0.6$$

Since \frac{228}{5} and \frac{69}{5} have the same denominator, add them by adding their numerators.

$$\frac{228+69}{5}+0.6$$

Add 228 and 69 to get 297.

$$\frac{297}{5}+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{297}{5}+\frac{3}{5}$$

Since \frac{297}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{297+3}{5}$$

Add 297 and 3 to get 300.

$$\frac{300}{5}$$

Divide 300 by 5 to get 60.

$$60$$

Factor

$$3\times 5\times 2^{2}$$