Evaluate 187 9/16-29 3/8

$187 \frac{9}{16} - 29 \frac{3}{8}$

Step 1

Convert $187 \frac{9}{16}$ to an improper fraction.

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

$187 + \frac{9}{16} - 29 \frac{3}{8}$

Add $187$ and $\frac{9}{16}$ .

To write $187$ as a fraction with a common denominator, multiply by $\frac{16}{16}$ .

$187 \cdot \frac{16}{16} + \frac{9}{16} - 29 \frac{3}{8}$

Combine $187$ and $\frac{16}{16}$ .

$\frac{187 \cdot 16}{16} + \frac{9}{16} - 29 \frac{3}{8}$

Combine the numerators over the common denominator.

$\frac{187 \cdot 16 + 9}{16} - 29 \frac{3}{8}$

Simplify the numerator.

Multiply $187$ by $16$ .

$\frac{2992 + 9}{16} - 29 \frac{3}{8}$

Add $2992$ and $9$ .

$\frac{3001}{16} - 29 \frac{3}{8}$

Step 2

Convert $29 \frac{3}{8}$ to an improper fraction.

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

$\frac{3001}{16} - (29 + \frac{3}{8})$

Add $29$ and $\frac{3}{8}$ .

To write $29$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{3001}{16} - (29 \cdot \frac{8}{8} + \frac{3}{8})$

Combine $29$ and $\frac{8}{8}$ .

$\frac{3001}{16} - (\frac{29 \cdot 8}{8} + \frac{3}{8})$

Combine the numerators over the common denominator.

$\frac{3001}{16} - \frac{29 \cdot 8 + 3}{8}$

Simplify the numerator.

Multiply $29$ by $8$ .

$\frac{3001}{16} - \frac{232 + 3}{8}$

Add $232$ and $3$ .

$\frac{3001}{16} - \frac{235}{8}$

Step 3

To write $- \frac{235}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3001}{16} - \frac{235}{8} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{235}{8}$ by $\frac{2}{2}$ .

$\frac{3001}{16} - \frac{235 \cdot 2}{8 \cdot 2}$

Multiply $8$ by $2$ .

$\frac{3001}{16} - \frac{235 \cdot 2}{16}$

Step 5

Combine the numerators over the common denominator.

$\frac{3001 - 235 \cdot 2}{16}$

Step 6

Simplify the numerator.

Multiply $- 235$ by $2$ .

$\frac{3001 - 470}{16}$

Subtract $470$ from $3001$ .

$\frac{2531}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{2531}{16}$

Decimal Form:

$158.1875$

Mixed Number Form:

$158 \frac{3}{16}$

Evaluate 187 9/16-29 3/8

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