Basic Math Examples

$153 - 56 \cdot \frac{51}{53 + 62} + 369 - 58$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Add $53$ and $62$ .

$153 - 56 \cdot \frac{51}{115} + 369 - 58$

Step 1.2

Multiply $- 56 (\frac{51}{115})$ .

Tap for more steps...

Step 1.2.1

Combine $- 56$ and $\frac{51}{115}$ .

$153 + \frac{- 56 \cdot 51}{115} + 369 - 58$

Step 1.2.2

Multiply $- 56$ by $51$ .

$153 + \frac{- 2856}{115} + 369 - 58$

Step 1.3

Move the negative in front of the fraction.

$153 - \frac{2856}{115} + 369 - 58$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Write $153$ as a fraction with denominator $1$ .

$\frac{153}{1} - \frac{2856}{115} + 369 - 58$

Step 2.2

Multiply $\frac{153}{1}$ by $\frac{115}{115}$ .

$\frac{153}{1} \cdot \frac{115}{115} - \frac{2856}{115} + 369 - 58$

Step 2.3

Multiply $\frac{153}{1}$ by $\frac{115}{115}$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + 369 - 58$

Step 2.4

Write $369$ as a fraction with denominator $1$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369}{1} - 58$

Step 2.5

Multiply $\frac{369}{1}$ by $\frac{115}{115}$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369}{1} \cdot \frac{115}{115} - 58$

Step 2.6

Multiply $\frac{369}{1}$ by $\frac{115}{115}$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369 \cdot 115}{115} - 58$

Step 2.7

Write $- 58$ as a fraction with denominator $1$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369 \cdot 115}{115} + \frac{- 58}{1}$

Step 2.8

Multiply $\frac{- 58}{1}$ by $\frac{115}{115}$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369 \cdot 115}{115} + \frac{- 58}{1} \cdot \frac{115}{115}$

Step 2.9

Multiply $\frac{- 58}{1}$ by $\frac{115}{115}$ .

$\frac{153 \cdot 115}{115} - \frac{2856}{115} + \frac{369 \cdot 115}{115} + \frac{- 58 \cdot 115}{115}$

Step 3

Combine the numerators over the common denominator.

$\frac{153 \cdot 115 - 2856 + 369 \cdot 115 - 58 \cdot 115}{115}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $153$ by $115$ .

$\frac{17595 - 2856 + 369 \cdot 115 - 58 \cdot 115}{115}$

Step 4.2

Multiply $369$ by $115$ .

$\frac{17595 - 2856 + 42435 - 58 \cdot 115}{115}$

Step 4.3

Multiply $- 58$ by $115$ .

$\frac{17595 - 2856 + 42435 - 6670}{115}$

Step 5

Simplify by adding and subtracting.

Tap for more steps...

Step 5.1

Subtract $2856$ from $17595$ .

$\frac{14739 + 42435 - 6670}{115}$

Step 5.2

Add $14739$ and $42435$ .

$\frac{57174 - 6670}{115}$

Step 5.3

Subtract $6670$ from $57174$ .

$\frac{50504}{115}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{50504}{115}$

Decimal Form:

$439.16521739 \dots$

Mixed Number Form:

$439 \frac{19}{115}$