Simplify 4 3/8-2 1/8

$4 \frac{3}{8} - 2 \frac{1}{8}$

Step 1

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

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

$4 + \frac{3}{8} - 2 \frac{1}{8}$

Add $4$ and $\frac{3}{8}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Combine $4$ and $\frac{8}{8}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $4$ by $8$ .

$\frac{32 + 3}{8} - 2 \frac{1}{8}$

Add $32$ and $3$ .

$\frac{35}{8} - 2 \frac{1}{8}$

Step 2

Convert $2 \frac{1}{8}$ to an improper fraction.

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

$\frac{35}{8} - (2 + \frac{1}{8})$

Add $2$ and $\frac{1}{8}$ .

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

$\frac{35}{8} - (2 \cdot \frac{8}{8} + \frac{1}{8})$

Combine $2$ and $\frac{8}{8}$ .

$\frac{35}{8} - (\frac{2 \cdot 8}{8} + \frac{1}{8})$

Combine the numerators over the common denominator.

$\frac{35}{8} - \frac{2 \cdot 8 + 1}{8}$

Simplify the numerator.

Multiply $2$ by $8$ .

$\frac{35}{8} - \frac{16 + 1}{8}$

Add $16$ and $1$ .

$\frac{35}{8} - \frac{17}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{35 - 17}{8}$

Step 4

Subtract $17$ from $35$ .

$\frac{18}{8}$

Step 5

Cancel the common factor of $18$ and $8$ .

Factor $2$ out of $18$ .

$\frac{2 (9)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 \cdot 9}{2 \cdot 4}$

Cancel the common factor.

$\frac{2 \cdot 9}{2 \cdot 4}$

Rewrite the expression.

$\frac{9}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$

Simplify 4 3/8-2 1/8

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