Solve 19/16+26/4=

$$1 \frac{ 9 }{ 16 } +2 \frac{ 6 }{ 4 } =$$

Evaluate

$$\frac{81}{16}=5.0625$$

Solution Steps

Multiply 1 and 16 to get 16.

$$\frac{16+9}{16}+\frac{2\times 4+6}{4}$$

Add 16 and 9 to get 25.

$$\frac{25}{16}+\frac{2\times 4+6}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{25}{16}+\frac{8+6}{4}$$

Add 8 and 6 to get 14.

$$\frac{25}{16}+\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{25}{16}+\frac{7}{2}$$

Least common multiple of 16 and 2 is 16. Convert \frac{25}{16} and \frac{7}{2} to fractions with denominator 16.

$$\frac{25}{16}+\frac{56}{16}$$

Since \frac{25}{16} and \frac{56}{16} have the same denominator, add them by adding their numerators.

$$\frac{25+56}{16}$$

Add 25 and 56 to get 81.

$$\frac{81}{16}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$