Solve 21/28+24/42

$$\frac { 21 } { 28 } + \frac { 24 } { 42 }$$

Evaluate

$$\frac{37}{28}\approx 1.321428571$$

Solution Steps

Reduce the fraction \frac{21}{28} to lowest terms by extracting and canceling out 7.

$$\frac{3}{4}+\frac{24}{42}$$

Reduce the fraction \frac{24}{42} to lowest terms by extracting and canceling out 6.

$$\frac{3}{4}+\frac{4}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{4}{7} to fractions with denominator 28.

$$\frac{21}{28}+\frac{16}{28}$$

Since \frac{21}{28} and \frac{16}{28} have the same denominator, add them by adding their numerators.

$$\frac{21+16}{28}$$

Add 21 and 16 to get 37.

$$\frac{37}{28}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 7} = 1\frac{9}{28} = 1.3214285714285714$$