Basic Math Examples

1 \frac{1}{4} \cdot 7.5

$1 \frac{1}{4} \cdot 7.5$

Step 1

Convert

1 \frac{1}{4}

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

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Step 1.1

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

(1 + \frac{1}{4}) \cdot 7.5

$(1 + \frac{1}{4}) \cdot 7.5$

Step 1.2

Add

1

$1$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{4}{4} + \frac{1}{4}) \cdot 7.5

$(\frac{4}{4} + \frac{1}{4}) \cdot 7.5$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{4 + 1}{4} \cdot 7.5

$\frac{4 + 1}{4} \cdot 7.5$

Step 1.2.3

Add

4

$4$ and

1

$1$ .

\frac{5}{4} \cdot 7.5

$\frac{5}{4} \cdot 7.5$

\frac{5}{4} \cdot 7.5

$\frac{5}{4} \cdot 7.5$

\frac{5}{4} \cdot 7.5

$\frac{5}{4} \cdot 7.5$

Step 2

Multiply

\frac{5}{4} \cdot 7.5

$\frac{5}{4} \cdot 7.5$ .

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Step 2.1

Combine

\frac{5}{4}

$\frac{5}{4}$ and

7.5

$7.5$ .

\frac{5 \cdot 7.5}{4}

$\frac{5 \cdot 7.5}{4}$

Step 2.2

Multiply

5

$5$ by

7.5

$7.5$ .

\frac{37.5}{4}

$\frac{37.5}{4}$

\frac{37.5}{4}

$\frac{37.5}{4}$

Step 3

Divide

37.5

$37.5$ by

4

$4$ .

9.375

$9.375$