Solve 15/24*42/3

$$\frac { 15 } { 24 } \times 4 \frac { 2 } { 3 }$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}\times \frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{5}{8}\times \frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{5}{8}\times \frac{14}{3}$$

Multiply \frac{5}{8} times \frac{14}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 14}{8\times 3}$$

Do the multiplications in the fraction \frac{5\times 14}{8\times 3}.

$$\frac{70}{24}$$

Reduce the fraction \frac{70}{24} to lowest terms by extracting and canceling out 2.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$