Simplify 2 3/16*3 1/7

$2 \frac{3}{16} \cdot 3 \frac{1}{7}$

Step 1

Convert

$2 \frac{3}{16}$ to an improper fraction.

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

$(2 + \frac{3}{16}) \cdot 3 \frac{1}{7}$

Add

$2$ and

$\frac{3}{16}$ .

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{16}{16}$ .

$(2 \cdot \frac{16}{16} + \frac{3}{16}) \cdot 3 \frac{1}{7}$

Combine

$2$ and

$\frac{16}{16}$ .

$(\frac{2 \cdot 16}{16} + \frac{3}{16}) \cdot 3 \frac{1}{7}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 16 + 3}{16} \cdot 3 \frac{1}{7}$

Simplify the numerator.

Multiply

$2$ by

$16$ .

$\frac{32 + 3}{16} \cdot 3 \frac{1}{7}$

Add

$32$ and

$3$ .

$\frac{35}{16} \cdot 3 \frac{1}{7}$

Step 2

Convert

$3 \frac{1}{7}$ to an improper fraction.

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

$\frac{35}{16} \cdot (3 + \frac{1}{7})$

Add

$3$ and

$\frac{1}{7}$ .

To write

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

$\frac{7}{7}$ .

$\frac{35}{16} \cdot (3 \cdot \frac{7}{7} + \frac{1}{7})$

Combine

$3$ and

$\frac{7}{7}$ .

$\frac{35}{16} \cdot (\frac{3 \cdot 7}{7} + \frac{1}{7})$

Combine the numerators over the common denominator.

$\frac{35}{16} \cdot \frac{3 \cdot 7 + 1}{7}$

Simplify the numerator.

Multiply

$3$ by

$7$ .

$\frac{35}{16} \cdot \frac{21 + 1}{7}$

Add

$21$ and

$1$ .

$\frac{35}{16} \cdot \frac{22}{7}$

Step 3

Cancel the common factor of

$7$ .

Factor

$7$ out of

$35$ .

$\frac{7 (5)}{16} \cdot \frac{22}{7}$

Cancel the common factor.

$\frac{7 \cdot 5}{16} \cdot \frac{22}{7}$

Rewrite the expression.

$\frac{5}{16} \cdot 22$

Step 4

Cancel the common factor of

$2$ .

Factor

$2$ out of

$16$ .

$\frac{5}{2 (8)} \cdot 22$

Factor

$2$ out of

$22$ .

$\frac{5}{2 \cdot 8} \cdot (2 \cdot 11)$

Cancel the common factor.

$\frac{5}{2 \cdot 8} \cdot (2 \cdot 11)$

Rewrite the expression.

$\frac{5}{8} \cdot 11$

Step 5

Combine

$\frac{5}{8}$ and

$11$ .

$\frac{5 \cdot 11}{8}$

Step 6

Multiply

$5$ by

$11$ .

$\frac{55}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{55}{8}$

Decimal Form:

$6.875$

Mixed Number Form:

$6 \frac{7}{8}$

Simplify 2 3/16*3 1/7

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