Basic Math Examples

$185 \frac{3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1

Convert $185 \frac{3}{5}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$185 + \frac{3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1.2

Add $185$ and $\frac{3}{5}$ .

Tap for more steps...

Step 1.2.1

To write $185$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$185 \cdot \frac{5}{5} + \frac{3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1.2.2

Combine $185$ and $\frac{5}{5}$ .

$\frac{185 \cdot 5}{5} + \frac{3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{185 \cdot 5 + 3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $185$ by $5$ .

$\frac{925 + 3}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 1.2.4.2

Add $925$ and $3$ .

$\frac{928}{5} + 68 \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2

Convert $68 \frac{9}{10}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$\frac{928}{5} + 68 + \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2.2

Add $68$ and $\frac{9}{10}$ .

Tap for more steps...

Step 2.2.1

To write $68$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{928}{5} + 68 \cdot \frac{10}{10} + \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2.2.2

Combine $68$ and $\frac{10}{10}$ .

$\frac{928}{5} + \frac{68 \cdot 10}{10} + \frac{9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{928}{5} + \frac{68 \cdot 10 + 9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $68$ by $10$ .

$\frac{928}{5} + \frac{680 + 9}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 2.2.4.2

Add $680$ and $9$ .

$\frac{928}{5} + \frac{689}{10} + 225 \frac{1}{2} + 109 \frac{1}{5}$

Step 3

Convert $225 \frac{1}{2}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

$\frac{928}{5} + \frac{689}{10} + 225 + \frac{1}{2} + 109 \frac{1}{5}$

Step 3.2

Add $225$ and $\frac{1}{2}$ .

Tap for more steps...

Step 3.2.1

To write $225$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{928}{5} + \frac{689}{10} + 225 \cdot \frac{2}{2} + \frac{1}{2} + 109 \frac{1}{5}$

Step 3.2.2

Combine $225$ and $\frac{2}{2}$ .

$\frac{928}{5} + \frac{689}{10} + \frac{225 \cdot 2}{2} + \frac{1}{2} + 109 \frac{1}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{928}{5} + \frac{689}{10} + \frac{225 \cdot 2 + 1}{2} + 109 \frac{1}{5}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply $225$ by $2$ .

$\frac{928}{5} + \frac{689}{10} + \frac{450 + 1}{2} + 109 \frac{1}{5}$

Step 3.2.4.2

Add $450$ and $1$ .

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + 109 \frac{1}{5}$

Step 4

Convert $109 \frac{1}{5}$ to an improper fraction.

Tap for more steps...

Step 4.1

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

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + 109 + \frac{1}{5}$

Step 4.2

Add $109$ and $\frac{1}{5}$ .

Tap for more steps...

Step 4.2.1

To write $109$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + 109 \cdot \frac{5}{5} + \frac{1}{5}$

Step 4.2.2

Combine $109$ and $\frac{5}{5}$ .

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + \frac{109 \cdot 5}{5} + \frac{1}{5}$

Step 4.2.3

Combine the numerators over the common denominator.

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + \frac{109 \cdot 5 + 1}{5}$

Step 4.2.4

Simplify the numerator.

Tap for more steps...

Step 4.2.4.1

Multiply $109$ by $5$ .

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + \frac{545 + 1}{5}$

Step 4.2.4.2

Add $545$ and $1$ .

$\frac{928}{5} + \frac{689}{10} + \frac{451}{2} + \frac{546}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{928 + 546}{5} + \frac{689}{10} + \frac{451}{2}$

Step 6

Add $928$ and $546$ .

$\frac{1474}{5} + \frac{689}{10} + \frac{451}{2}$

Step 7

Find the common denominator.

Tap for more steps...

Step 7.1

Multiply $\frac{1474}{5}$ by $\frac{2}{2}$ .

$\frac{1474}{5} \cdot \frac{2}{2} + \frac{689}{10} + \frac{451}{2}$

Step 7.2

Multiply $\frac{1474}{5}$ by $\frac{2}{2}$ .

$\frac{1474 \cdot 2}{5 \cdot 2} + \frac{689}{10} + \frac{451}{2}$

Step 7.3

Multiply $\frac{451}{2}$ by $\frac{5}{5}$ .

$\frac{1474 \cdot 2}{5 \cdot 2} + \frac{689}{10} + \frac{451}{2} \cdot \frac{5}{5}$

Step 7.4

Multiply $\frac{451}{2}$ by $\frac{5}{5}$ .

$\frac{1474 \cdot 2}{5 \cdot 2} + \frac{689}{10} + \frac{451 \cdot 5}{2 \cdot 5}$

Step 7.5

Reorder the factors of $5 \cdot 2$ .

$\frac{1474 \cdot 2}{2 \cdot 5} + \frac{689}{10} + \frac{451 \cdot 5}{2 \cdot 5}$

Step 7.6

Multiply $2$ by $5$ .

$\frac{1474 \cdot 2}{10} + \frac{689}{10} + \frac{451 \cdot 5}{2 \cdot 5}$

Step 7.7

Multiply $2$ by $5$ .

$\frac{1474 \cdot 2}{10} + \frac{689}{10} + \frac{451 \cdot 5}{10}$

Step 8

Combine the numerators over the common denominator.

$\frac{1474 \cdot 2 + 689 + 451 \cdot 5}{10}$

Step 9

Simplify each term.

Tap for more steps...

Step 9.1

Multiply $1474$ by $2$ .

$\frac{2948 + 689 + 451 \cdot 5}{10}$

Step 9.2

Multiply $451$ by $5$ .

$\frac{2948 + 689 + 2255}{10}$

Step 10

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 10.1

Add $2948$ and $689$ .

$\frac{3637 + 2255}{10}$

Step 10.2

Add $3637$ and $2255$ .

$\frac{5892}{10}$

Step 10.3

Cancel the common factor of $5892$ and $10$ .

Tap for more steps...

Step 10.3.1

Factor $2$ out of $5892$ .

$\frac{2 (2946)}{10}$

Step 10.3.2

Cancel the common factors.

Tap for more steps...

Step 10.3.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 2946}{2 \cdot 5}$

Step 10.3.2.2

Cancel the common factor.

$\frac{2 \cdot 2946}{2 \cdot 5}$

Step 10.3.2.3

Rewrite the expression.

$\frac{2946}{5}$