Basic Math Examples

$6 \frac{3}{7} \cdot 21$

Step 1

Convert $6 \frac{3}{7}$ to an improper fraction.

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Step 1.1

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

$(6 + \frac{3}{7}) \cdot 21$

Step 1.2

Add $6$ and $\frac{3}{7}$ .

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Step 1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$(6 \cdot \frac{7}{7} + \frac{3}{7}) \cdot 21$

Step 1.2.2

Combine $6$ and $\frac{7}{7}$ .

$(\frac{6 \cdot 7}{7} + \frac{3}{7}) \cdot 21$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 7 + 3}{7} \cdot 21$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $6$ by $7$ .

$\frac{42 + 3}{7} \cdot 21$

Step 1.2.4.2

Add $42$ and $3$ .

$\frac{45}{7} \cdot 21$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $21$ .

$\frac{45}{7} \cdot (7 (3))$

Step 2.2

Cancel the common factor.

$\frac{45}{7} \cdot (7 \cdot 3)$

Step 2.3

Rewrite the expression.

$45 \cdot 3$

Step 3

Multiply $45$ by $3$ .

$135$