Basic Math Examples

$14 - 5 \frac{3}{7}$

Step 1

Convert $5 \frac{3}{7}$ to an improper fraction.

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Step 1.1

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

$14 - (5 + \frac{3}{7})$

Step 1.2

Add $5$ and $\frac{3}{7}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$14 - (5 \cdot \frac{7}{7} + \frac{3}{7})$

Step 1.2.2

Combine $5$ and $\frac{7}{7}$ .

$14 - (\frac{5 \cdot 7}{7} + \frac{3}{7})$

Step 1.2.3

Combine the numerators over the common denominator.

$14 - \frac{5 \cdot 7 + 3}{7}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $7$ .

$14 - \frac{35 + 3}{7}$

Step 1.2.4.2

Add $35$ and $3$ .

$14 - \frac{38}{7}$

Step 2

To write $14$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$14 \cdot \frac{7}{7} - \frac{38}{7}$

Step 3

Combine $14$ and $\frac{7}{7}$ .

$\frac{14 \cdot 7}{7} - \frac{38}{7}$

Step 4

Combine the numerators over the common denominator.

$\frac{14 \cdot 7 - 38}{7}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $14$ by $7$ .

$\frac{98 - 38}{7}$

Step 5.2

Subtract $38$ from $98$ .

$\frac{60}{7}$