Solve 4/5*5/24+7/24*3/14

$$\frac { 4 } { 5 } \times \frac { 5 } { 24 } + \frac { 7 } { 24 } \times \frac { 3 } { 14 }$$

Evaluate

$$\frac{11}{48}\approx 0.229166667$$

Solution Steps

Multiply \frac{4}{5} times \frac{5}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{5\times 24}+\frac{7}{24}\times \frac{3}{14}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{24}+\frac{7}{24}\times \frac{3}{14}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}+\frac{7}{24}\times \frac{3}{14}$$

Multiply \frac{7}{24} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}+\frac{7\times 3}{24\times 14}$$

Do the multiplications in the fraction \frac{7\times 3}{24\times 14}.

$$\frac{1}{6}+\frac{21}{336}$$

Reduce the fraction \frac{21}{336} to lowest terms by extracting and canceling out 21.

$$\frac{1}{6}+\frac{1}{16}$$

Least common multiple of 6 and 16 is 48. Convert \frac{1}{6} and \frac{1}{16} to fractions with denominator 48.

$$\frac{8}{48}+\frac{3}{48}$$

Since \frac{8}{48} and \frac{3}{48} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{48}$$

Add 8 and 3 to get 11.

$$\frac{11}{48}$$

Factor

$$\frac{11}{2 ^ {4} \cdot 3} = 0.22916666666666666$$