Solve 9/4+2/3(5+5)=6

$$\frac { 9 } { 4 } + \frac { 2 } { 3 } ( 5 + 5 ) = 6$$

Verify

Solution Steps

Add 5 and 5 to get 10.

$$\frac{9}{4}+\frac{2}{3}\times 10=6$$

Express \frac{2}{3}\times 10 as a single fraction.

$$\frac{9}{4}+\frac{2\times 10}{3}=6$$

Multiply 2 and 10 to get 20.

$$\frac{9}{4}+\frac{20}{3}=6$$

Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{20}{3} to fractions with denominator 12.

$$\frac{27}{12}+\frac{80}{12}=6$$

Since \frac{27}{12} and \frac{80}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+80}{12}=6$$

Add 27 and 80 to get 107.

$$\frac{107}{12}=6$$

Convert 6 to fraction \frac{72}{12}.

$$\frac{107}{12}=\frac{72}{12}$$

Compare \frac{107}{12} and \frac{72}{12}.

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