Solve 27/16+48/10=

$$2 \frac { 7 } { 16 } + 4 \frac { 8 } { 10 } =$$

Evaluate

$$\frac{579}{80}=7.2375$$

Solution Steps

Multiply 2 and 16 to get 32.

$$\frac{32+7}{16}+\frac{4\times 10+8}{10}$$

Add 32 and 7 to get 39.

$$\frac{39}{16}+\frac{4\times 10+8}{10}$$

Multiply 4 and 10 to get 40.

$$\frac{39}{16}+\frac{40+8}{10}$$

Add 40 and 8 to get 48.

$$\frac{39}{16}+\frac{48}{10}$$

Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{39}{16}+\frac{24}{5}$$

Least common multiple of 16 and 5 is 80. Convert \frac{39}{16} and \frac{24}{5} to fractions with denominator 80.

$$\frac{195}{80}+\frac{384}{80}$$

Since \frac{195}{80} and \frac{384}{80} have the same denominator, add them by adding their numerators.

$$\frac{195+384}{80}$$

Add 195 and 384 to get 579.

$$\frac{579}{80}$$

Factor

$$\frac{3 \cdot 193}{2 ^ {4} \cdot 5} = 7\frac{19}{80} = 7.2375$$