Solve 71/4*2/2*3/8+11/2*4

$$7 \frac { 1 } { 4 } \times \frac { 2 } { 2 } \cdot \frac { 3 } { 8 } + 1 \frac { 1 } { 2 } \times 4$$

Evaluate

$$\frac{279}{32}=8.71875$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{7\times 4+1}{4}\times 1\times \frac{3}{8}+\frac{1\times 2+1}{2}\times 4$$

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}\times 1\times \frac{3}{8}+\frac{1\times 2+1}{2}\times 4$$

Add 28 and 1 to get 29.

$$\frac{29}{4}\times 1\times \frac{3}{8}+\frac{1\times 2+1}{2}\times 4$$

Multiply \frac{29}{4} and 1 to get \frac{29}{4}.

$$\frac{29}{4}\times \frac{3}{8}+\frac{1\times 2+1}{2}\times 4$$

Multiply \frac{29}{4} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 3}{4\times 8}+\frac{1\times 2+1}{2}\times 4$$

Do the multiplications in the fraction \frac{29\times 3}{4\times 8}.

$$\frac{87}{32}+\frac{1\times 2+1}{2}\times 4$$

Multiply 1 and 2 to get 2.

$$\frac{87}{32}+\frac{2+1}{2}\times 4$$

Add 2 and 1 to get 3.

$$\frac{87}{32}+\frac{3}{2}\times 4$$

Express \frac{3}{2}\times 4 as a single fraction.

$$\frac{87}{32}+\frac{3\times 4}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{87}{32}+\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$\frac{87}{32}+6$$

Convert 6 to fraction \frac{192}{32}.

$$\frac{87}{32}+\frac{192}{32}$$

Since \frac{87}{32} and \frac{192}{32} have the same denominator, add them by adding their numerators.

$$\frac{87+192}{32}$$

Add 87 and 192 to get 279.

$$\frac{279}{32}$$

Factor

$$\frac{3 ^ {2} \cdot 31}{2 ^ {5}} = 8\frac{23}{32} = 8.71875$$