Solve 21/13quad5/8+0.375=

$$\frac { 21 } { 13 } \quad \frac { 5 } { 8 } + 0.375 =$$

Evaluate

$$\frac{18}{13}\approx 1.384615385$$

Solution Steps

Multiply \frac{21}{13} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 5}{13\times 8}+0.375$$

Do the multiplications in the fraction \frac{21\times 5}{13\times 8}.

$$\frac{105}{104}+0.375$$

Convert decimal number 0.375 to fraction \frac{375}{1000}. Reduce the fraction \frac{375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{105}{104}+\frac{3}{8}$$

Least common multiple of 104 and 8 is 104. Convert \frac{105}{104} and \frac{3}{8} to fractions with denominator 104.

$$\frac{105}{104}+\frac{39}{104}$$

Since \frac{105}{104} and \frac{39}{104} have the same denominator, add them by adding their numerators.

$$\frac{105+39}{104}$$

Add 105 and 39 to get 144.

$$\frac{144}{104}$$

Reduce the fraction \frac{144}{104} to lowest terms by extracting and canceling out 8.

$$\frac{18}{13}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{13} = 1\frac{5}{13} = 1.3846153846153846$$