Basic Math Examples

1 \frac{3}{4} \cdot 8

$1 \frac{3}{4} \cdot 8$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ 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{3}{4}) \cdot 8

$(1 + \frac{3}{4}) \cdot 8$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{4}{4} + \frac{3}{4}) \cdot 8

$(\frac{4}{4} + \frac{3}{4}) \cdot 8$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{4 + 3}{4} \cdot 8

$\frac{4 + 3}{4} \cdot 8$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

\frac{7}{4} \cdot 8

$\frac{7}{4} \cdot 8$

\frac{7}{4} \cdot 8

$\frac{7}{4} \cdot 8$

\frac{7}{4} \cdot 8

$\frac{7}{4} \cdot 8$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

8

$8$ .

\frac{7}{4} \cdot (4 (2))

$\frac{7}{4} \cdot (4 (2))$

Step 2.2

Cancel the common factor.

\frac{7}{4} \cdot (4 \cdot 2)

$\frac{7}{4} \cdot (4 \cdot 2)$

Step 2.3

Rewrite the expression.

7 \cdot 2

$7 \cdot 2$

7 \cdot 2

$7 \cdot 2$

Step 3

Multiply

7

$7$ by

2

$2$ .

14

$14$