Solve (4/7+8/9)*7*9

$$( \frac { 4 } { 7 } + \frac { 8 } { 9 } ) \times 7 \times 9$$

Evaluate

$$92$$

Solution Steps

Least common multiple of 7 and 9 is 63. Convert \frac{4}{7} and \frac{8}{9} to fractions with denominator 63.

$$\left(\frac{36}{63}+\frac{56}{63}\right)\times 7\times 9$$

Since \frac{36}{63} and \frac{56}{63} have the same denominator, add them by adding their numerators.

$$\frac{36+56}{63}\times 7\times 9$$

Add 36 and 56 to get 92.

$$\frac{92}{63}\times 7\times 9$$

Express \frac{92}{63}\times 7 as a single fraction.

$$\frac{92\times 7}{63}\times 9$$

Multiply 92 and 7 to get 644.

$$\frac{644}{63}\times 9$$

Reduce the fraction \frac{644}{63} to lowest terms by extracting and canceling out 7.

$$\frac{92}{9}\times 9$$

Cancel out 9 and 9.

$$92$$

Factor

$$2^{2}\times 23$$