Solve 3/4+44/8=

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

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{3}{4}+\frac{32+4}{8}$$

Add 32 and 4 to get 36.

$$\frac{3}{4}+\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{9}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{18}{4}$$

Since \frac{3}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+18}{4}$$

Add 3 and 18 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$