Solve 43/8*4/7+(3-15/7):5/7

$$4 \frac { 3 } { 8 } \cdot \frac { 4 } { 7 } + ( 3 - 1 \frac { 5 } { 7 } ) : \frac { 5 } { 7 }$$

Evaluate

$$\frac{43}{10}=4.3$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}\times \frac{4}{7}+\frac{3-\frac{1\times 7+5}{7}}{\frac{5}{7}}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}\times \frac{4}{7}+\frac{3-\frac{1\times 7+5}{7}}{\frac{5}{7}}$$

Multiply \frac{35}{8} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 4}{8\times 7}+\frac{3-\frac{1\times 7+5}{7}}{\frac{5}{7}}$$

Do the multiplications in the fraction \frac{35\times 4}{8\times 7}.

$$\frac{140}{56}+\frac{3-\frac{1\times 7+5}{7}}{\frac{5}{7}}$$

Reduce the fraction \frac{140}{56} to lowest terms by extracting and canceling out 28.

$$\frac{5}{2}+\frac{3-\frac{1\times 7+5}{7}}{\frac{5}{7}}$$

Multiply 1 and 7 to get 7.

$$\frac{5}{2}+\frac{3-\frac{7+5}{7}}{\frac{5}{7}}$$

Add 7 and 5 to get 12.

$$\frac{5}{2}+\frac{3-\frac{12}{7}}{\frac{5}{7}}$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{5}{2}+\frac{\frac{21}{7}-\frac{12}{7}}{\frac{5}{7}}$$

Since \frac{21}{7} and \frac{12}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{2}+\frac{\frac{21-12}{7}}{\frac{5}{7}}$$

Subtract 12 from 21 to get 9.

$$\frac{5}{2}+\frac{\frac{9}{7}}{\frac{5}{7}}$$

Divide \frac{9}{7} by \frac{5}{7} by multiplying \frac{9}{7} by the reciprocal of \frac{5}{7}.

$$\frac{5}{2}+\frac{9}{7}\times \frac{7}{5}$$

Multiply \frac{9}{7} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{2}+\frac{9\times 7}{7\times 5}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{2}+\frac{9}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{9}{5} to fractions with denominator 10.

$$\frac{25}{10}+\frac{18}{10}$$

Since \frac{25}{10} and \frac{18}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+18}{10}$$

Add 25 and 18 to get 43.

$$\frac{43}{10}$$

Factor

$$\frac{43}{2 \cdot 5} = 4\frac{3}{10} = 4.3$$