Solve 31/4+41/4

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

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}+\frac{4\times 4+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{13}{4}+\frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$\frac{13}{4}+\frac{17}{4}$$

Since \frac{13}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{13+17}{4}$$

Add 13 and 17 to get 30.

$$\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$