Solve 5/2415/7+2/21*5/7

$$\frac{ 5 }{ 24 } 1 \frac{ 5 }{ 7 } + \frac{ 2 }{ 21 } \times \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{125}{294}\approx 0.425170068$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{5}{24}\times \frac{7+5}{7}+\frac{2}{21}\times \frac{5}{7}$$

Add 7 and 5 to get 12.

$$\frac{5}{24}\times \frac{12}{7}+\frac{2}{21}\times \frac{5}{7}$$

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

$$\frac{5\times 12}{24\times 7}+\frac{2}{21}\times \frac{5}{7}$$

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

$$\frac{60}{168}+\frac{2}{21}\times \frac{5}{7}$$

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

$$\frac{5}{14}+\frac{2}{21}\times \frac{5}{7}$$

Multiply \frac{2}{21} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{14}+\frac{2\times 5}{21\times 7}$$

Do the multiplications in the fraction \frac{2\times 5}{21\times 7}.

$$\frac{5}{14}+\frac{10}{147}$$

Least common multiple of 14 and 147 is 294. Convert \frac{5}{14} and \frac{10}{147} to fractions with denominator 294.

$$\frac{105}{294}+\frac{20}{294}$$

Since \frac{105}{294} and \frac{20}{294} have the same denominator, add them by adding their numerators.

$$\frac{105+20}{294}$$

Add 105 and 20 to get 125.

$$\frac{125}{294}$$

Factor

$$\frac{5 ^ {3}}{2 \cdot 3 \cdot 7 ^ {2}} = 0.42517006802721086$$