Simplify 8 3/4*3 7/8

$8 \frac{3}{4} \cdot 3 \frac{7}{8}$

Step 1

Convert

$8 \frac{3}{4}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(8 + \frac{3}{4}) \cdot 3 \frac{7}{8}$

Add

$8$ and

$\frac{3}{4}$ .

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$(8 \cdot \frac{4}{4} + \frac{3}{4}) \cdot 3 \frac{7}{8}$

Combine

$8$ and

$\frac{4}{4}$ .

$(\frac{8 \cdot 4}{4} + \frac{3}{4}) \cdot 3 \frac{7}{8}$

Combine the numerators over the common denominator.

$\frac{8 \cdot 4 + 3}{4} \cdot 3 \frac{7}{8}$

Simplify the numerator.

Multiply

$8$ by

$4$ .

$\frac{32 + 3}{4} \cdot 3 \frac{7}{8}$

Add

$32$ and

$3$ .

$\frac{35}{4} \cdot 3 \frac{7}{8}$

Step 2

Convert

$3 \frac{7}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$\frac{35}{4} \cdot (3 + \frac{7}{8})$

Add

$3$ and

$\frac{7}{8}$ .

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$\frac{35}{4} \cdot (3 \cdot \frac{8}{8} + \frac{7}{8})$

Combine

$3$ and

$\frac{8}{8}$ .

$\frac{35}{4} \cdot (\frac{3 \cdot 8}{8} + \frac{7}{8})$

Combine the numerators over the common denominator.

$\frac{35}{4} \cdot \frac{3 \cdot 8 + 7}{8}$

Simplify the numerator.

Multiply

$3$ by

$8$ .

$\frac{35}{4} \cdot \frac{24 + 7}{8}$

Add

$24$ and

$7$ .

$\frac{35}{4} \cdot \frac{31}{8}$

Step 3

Multiply

$\frac{35}{4} \cdot \frac{31}{8}$ .

Multiply

$\frac{35}{4}$ by

$\frac{31}{8}$ .

$\frac{35 \cdot 31}{4 \cdot 8}$

Multiply

$35$ by

$31$ .

$\frac{1085}{4 \cdot 8}$

Multiply

$4$ by

$8$ .

$\frac{1085}{32}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1085}{32}$

Decimal Form:

$33.90625$

Mixed Number Form:

$33 \frac{29}{32}$

Simplify 8 3/4*3 7/8

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