Solve 85/7+141/4

$$8 \frac { 5 } { 7 } + 14 \frac { 1 } { 4 }$$

Evaluate

$$\frac{643}{28}\approx 22.964285714$$

Solution Steps

Multiply 8 and 7 to get 56.

$$\frac{56+5}{7}+\frac{14\times 4+1}{4}$$

Add 56 and 5 to get 61.

$$\frac{61}{7}+\frac{14\times 4+1}{4}$$

Multiply 14 and 4 to get 56.

$$\frac{61}{7}+\frac{56+1}{4}$$

Add 56 and 1 to get 57.

$$\frac{61}{7}+\frac{57}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{61}{7} and \frac{57}{4} to fractions with denominator 28.

$$\frac{244}{28}+\frac{399}{28}$$

Since \frac{244}{28} and \frac{399}{28} have the same denominator, add them by adding their numerators.

$$\frac{244+399}{28}$$

Add 244 and 399 to get 643.

$$\frac{643}{28}$$

Factor

$$\frac{643}{2 ^ {2} \cdot 7} = 22\frac{27}{28} = 22.964285714285715$$