Solve 6.31/8+13/4

$$6.3 \frac { 1 } { 8 } + 1 \frac { 3 } { 4 }$$

Evaluate

$$8.175$$

Solution Steps

Multiply 6.3 and 8 to get 50.4.

$$\frac{50.4+1}{8}+\frac{1\times 4+3}{4}$$

Add 50.4 and 1 to get 51.4.

$$\frac{51.4}{8}+\frac{1\times 4+3}{4}$$

Expand \frac{51.4}{8} by multiplying both numerator and the denominator by 10.

$$\frac{514}{80}+\frac{1\times 4+3}{4}$$

Reduce the fraction \frac{514}{80} to lowest terms by extracting and canceling out 2.

$$\frac{257}{40}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{257}{40}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{257}{40}+\frac{7}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{257}{40} and \frac{7}{4} to fractions with denominator 40.

$$\frac{257}{40}+\frac{70}{40}$$

Since \frac{257}{40} and \frac{70}{40} have the same denominator, add them by adding their numerators.

$$\frac{257+70}{40}$$

Add 257 and 70 to get 327.

$$\frac{327}{40}$$

Factor

$$\frac{3 \cdot 109}{5 \cdot 2 ^ {3}} = 8\frac{7}{40} = 8.175$$