Solve (79/25-3/5)div(4*3/5)

$$(7 \frac{ 9 }{ 25 } - \frac{ 3 }{ 5 } ) \div ( \frac{ 4 \times 3 }{ 5 } )$$

Evaluate

$$\frac{169}{60}\approx 2.816666667$$

Solution Steps

Multiply 7 and 25 to get 175.

$$\frac{\frac{175+9}{25}-\frac{3}{5}}{\frac{4\times 3}{5}}$$

Add 175 and 9 to get 184.

$$\frac{\frac{184}{25}-\frac{3}{5}}{\frac{4\times 3}{5}}$$

Least common multiple of 25 and 5 is 25. Convert \frac{184}{25} and \frac{3}{5} to fractions with denominator 25.

$$\frac{\frac{184}{25}-\frac{15}{25}}{\frac{4\times 3}{5}}$$

Since \frac{184}{25} and \frac{15}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{184-15}{25}}{\frac{4\times 3}{5}}$$

Subtract 15 from 184 to get 169.

$$\frac{\frac{169}{25}}{\frac{4\times 3}{5}}$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{169}{25}}{\frac{12}{5}}$$

Divide \frac{169}{25} by \frac{12}{5} by multiplying \frac{169}{25} by the reciprocal of \frac{12}{5}.

$$\frac{169}{25}\times \frac{5}{12}$$

Multiply \frac{169}{25} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{169\times 5}{25\times 12}$$

Do the multiplications in the fraction \frac{169\times 5}{25\times 12}.

$$\frac{845}{300}$$

Reduce the fraction \frac{845}{300} to lowest terms by extracting and canceling out 5.

$$\frac{169}{60}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{49}{60} = 2.816666666666667$$