Solve 7/22*33/9+90/11=

$$\frac { 7 } { 22 } \cdot \frac { 33 } { 9 } + \frac { 90 } { 11 } =$$

Evaluate

$$\frac{617}{66}\approx 9.348484848$$

Solution Steps

Reduce the fraction \frac{33}{9} to lowest terms by extracting and canceling out 3.

$$\frac{7}{22}\times \frac{11}{3}+\frac{90}{11}$$

Multiply \frac{7}{22} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 11}{22\times 3}+\frac{90}{11}$$

Do the multiplications in the fraction \frac{7\times 11}{22\times 3}.

$$\frac{77}{66}+\frac{90}{11}$$

Reduce the fraction \frac{77}{66} to lowest terms by extracting and canceling out 11.

$$\frac{7}{6}+\frac{90}{11}$$

Least common multiple of 6 and 11 is 66. Convert \frac{7}{6} and \frac{90}{11} to fractions with denominator 66.

$$\frac{77}{66}+\frac{540}{66}$$

Since \frac{77}{66} and \frac{540}{66} have the same denominator, add them by adding their numerators.

$$\frac{77+540}{66}$$

Add 77 and 540 to get 617.

$$\frac{617}{66}$$

Factor

$$\frac{617}{2 \cdot 3 \cdot 11} = 9\frac{23}{66} = 9.348484848484848$$