Basic Math Examples

28 \frac{1}{4} \cdot 4

$28 \frac{1}{4} \cdot 4$

Step 1

Convert

28 \frac{1}{4}

$28 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

(28 + \frac{1}{4}) \cdot 4

$(28 + \frac{1}{4}) \cdot 4$

Step 1.2

Add

28

$28$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

28

$28$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

(28 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 4

$(28 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 4$

Step 1.2.2

Combine

28

$28$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{28 \cdot 4}{4} + \frac{1}{4}) \cdot 4

$(\frac{28 \cdot 4}{4} + \frac{1}{4}) \cdot 4$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{28 \cdot 4 + 1}{4} \cdot 4

$\frac{28 \cdot 4 + 1}{4} \cdot 4$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

28

$28$ by

4

$4$ .

\frac{112 + 1}{4} \cdot 4

$\frac{112 + 1}{4} \cdot 4$

Step 1.2.4.2

Add

112

$112$ and

1

$1$ .

\frac{113}{4} \cdot 4

$\frac{113}{4} \cdot 4$

\frac{113}{4} \cdot 4

$\frac{113}{4} \cdot 4$

\frac{113}{4} \cdot 4

$\frac{113}{4} \cdot 4$

\frac{113}{4} \cdot 4

$\frac{113}{4} \cdot 4$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Cancel the common factor.

\frac{113}{4} \cdot 4

$\frac{113}{4} \cdot 4$

Step 2.2

Rewrite the expression.

113

$113$

113

$113$