Solve 4/9+1/24*116/15+7/30

$$\frac { 4 } { 9 } + \frac { 1 } { 24 } \times \frac { 116 } { 15 } + \frac { 7 } { 30 }$$

Evaluate

$$1$$

Solution Steps

Multiply \frac{1}{24} times \frac{116}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}+\frac{1\times 116}{24\times 15}+\frac{7}{30}$$

Do the multiplications in the fraction \frac{1\times 116}{24\times 15}.

$$\frac{4}{9}+\frac{116}{360}+\frac{7}{30}$$

Reduce the fraction \frac{116}{360} to lowest terms by extracting and canceling out 4.

$$\frac{4}{9}+\frac{29}{90}+\frac{7}{30}$$

Least common multiple of 9 and 90 is 90. Convert \frac{4}{9} and \frac{29}{90} to fractions with denominator 90.

$$\frac{40}{90}+\frac{29}{90}+\frac{7}{30}$$

Since \frac{40}{90} and \frac{29}{90} have the same denominator, add them by adding their numerators.

$$\frac{40+29}{90}+\frac{7}{30}$$

Add 40 and 29 to get 69.

$$\frac{69}{90}+\frac{7}{30}$$

Reduce the fraction \frac{69}{90} to lowest terms by extracting and canceling out 3.

$$\frac{23}{30}+\frac{7}{30}$$

Since \frac{23}{30} and \frac{7}{30} have the same denominator, add them by adding their numerators.

$$\frac{23+7}{30}$$

Add 23 and 7 to get 30.

$$\frac{30}{30}$$

Divide 30 by 30 to get 1.

$$1$$

Factor

$$1$$