Solve 5/24*15/7+2/4*5/7

$$\frac { 5 } { 24 } \times 1 \frac { 5 } { 7 } + \frac { 2 } { 4 } \times \frac { 5 } { 7 }$$

Evaluate

$$\frac{5}{7}\approx 0.714285714$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{5}{24}\times \frac{7+5}{7}+\frac{2}{4}\times \frac{5}{7}$$

Add 7 and 5 to get 12.

$$\frac{5}{24}\times \frac{12}{7}+\frac{2}{4}\times \frac{5}{7}$$

Multiply \frac{5}{24} times \frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 12}{24\times 7}+\frac{2}{4}\times \frac{5}{7}$$

Do the multiplications in the fraction \frac{5\times 12}{24\times 7}.

$$\frac{60}{168}+\frac{2}{4}\times \frac{5}{7}$$

Reduce the fraction \frac{60}{168} to lowest terms by extracting and canceling out 12.

$$\frac{5}{14}+\frac{2}{4}\times \frac{5}{7}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{14}+\frac{1}{2}\times \frac{5}{7}$$

Multiply \frac{1}{2} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{14}+\frac{1\times 5}{2\times 7}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 7}.

$$\frac{5}{14}+\frac{5}{14}$$

Since \frac{5}{14} and \frac{5}{14} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{14}$$

Add 5 and 5 to get 10.

$$\frac{10}{14}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$