Solve 23/8+47/8=

$$2 \frac { 3 } { 8 } + 4 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{29}{4}=7.25$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+3}{8}+\frac{4\times 8+7}{8}$$

Add 16 and 3 to get 19.

$$\frac{19}{8}+\frac{4\times 8+7}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{19}{8}+\frac{32+7}{8}$$

Add 32 and 7 to get 39.

$$\frac{19}{8}+\frac{39}{8}$$

Since \frac{19}{8} and \frac{39}{8} have the same denominator, add them by adding their numerators.

$$\frac{19+39}{8}$$

Add 19 and 39 to get 58.

$$\frac{58}{8}$$

Reduce the fraction \frac{58}{8} to lowest terms by extracting and canceling out 2.

$$\frac{29}{4}$$

Factor

$$\frac{29}{2 ^ {2}} = 7\frac{1}{4} = 7.25$$