Basic Math Examples

$9 \frac{1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1

Convert $9 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$9 + \frac{1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1.2

Add $9$ and $\frac{1}{4}$ .

Tap for more steps...

Step 1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$9 \cdot \frac{4}{4} + \frac{1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1.2.2

Combine $9$ and $\frac{4}{4}$ .

$\frac{9 \cdot 4}{4} + \frac{1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{9 \cdot 4 + 1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $9$ by $4$ .

$\frac{36 + 1}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 1.2.4.2

Add $36$ and $1$ .

$\frac{37}{4} - (2 \frac{1}{4} + \frac{3}{7} a)$

Step 2

Convert $2 \frac{1}{4}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{37}{4} - (2 + \frac{1}{4} + \frac{3}{7} a)$

Step 2.2

Add $2$ and $\frac{1}{4}$ .

Tap for more steps...

Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{37}{4} - (2 \cdot \frac{4}{4} + \frac{1}{4} + \frac{3}{7} a)$

Step 2.2.2

Combine $2$ and $\frac{4}{4}$ .

$\frac{37}{4} - (\frac{2 \cdot 4}{4} + \frac{1}{4} + \frac{3}{7} a)$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{37}{4} - (\frac{2 \cdot 4 + 1}{4} + \frac{3}{7} a)$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $2$ by $4$ .

$\frac{37}{4} - (\frac{8 + 1}{4} + \frac{3}{7} a)$

Step 2.2.4.2

Add $8$ and $1$ .

$\frac{37}{4} - (\frac{9}{4} + \frac{3}{7} a)$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Combine $\frac{3}{7}$ and $a$ .

$\frac{37}{4} - (\frac{9}{4} + \frac{3 a}{7})$

Step 3.2

Apply the distributive property.

$\frac{37}{4} - \frac{9}{4} - \frac{3 a}{7}$

Step 4

Combine fractions.

Tap for more steps...

Step 4.1

Combine the numerators over the common denominator.

$\frac{37 - 9}{4} + \frac{- 3 a}{7}$

Step 4.2

Subtract $9$ from $37$ .

$\frac{28}{4} + \frac{- 3 a}{7}$

Step 5

Simplify each term.

Tap for more steps...

Step 5.1

Divide $28$ by $4$ .

$7 + \frac{- 3 a}{7}$

Step 5.2

Move the negative in front of the fraction.

$7 - \frac{3 a}{7}$