Solve 24/8*16/7*91/8

$$2 \frac { 4 } { 8 } \times 1 \frac { 6 } { 7 } \times 9 \frac { 1 } { 8 }$$

Evaluate

$$\frac{4745}{112}\approx 42.366071429$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+4}{8}\times \frac{1\times 7+6}{7}\times \frac{9\times 8+1}{8}$$

Add 16 and 4 to get 20.

$$\frac{20}{8}\times \frac{1\times 7+6}{7}\times \frac{9\times 8+1}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{2}\times \frac{1\times 7+6}{7}\times \frac{9\times 8+1}{8}$$

Multiply 1 and 7 to get 7.

$$\frac{5}{2}\times \frac{7+6}{7}\times \frac{9\times 8+1}{8}$$

Add 7 and 6 to get 13.

$$\frac{5}{2}\times \frac{13}{7}\times \frac{9\times 8+1}{8}$$

Multiply \frac{5}{2} times \frac{13}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 13}{2\times 7}\times \frac{9\times 8+1}{8}$$

Do the multiplications in the fraction \frac{5\times 13}{2\times 7}.

$$\frac{65}{14}\times \frac{9\times 8+1}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{65}{14}\times \frac{72+1}{8}$$

Add 72 and 1 to get 73.

$$\frac{65}{14}\times \frac{73}{8}$$

Multiply \frac{65}{14} times \frac{73}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 73}{14\times 8}$$

Do the multiplications in the fraction \frac{65\times 73}{14\times 8}.

$$\frac{4745}{112}$$

Factor

$$\frac{5 \cdot 13 \cdot 73}{2 ^ {4} \cdot 7} = 42\frac{41}{112} = 42.36607142857143$$