Basic Math Examples

$70 \frac{5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1

Convert $70 \frac{5}{10}$ to an improper fraction.

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Step 1.1

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

$70 + \frac{5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1.2

Add $70$ and $\frac{5}{10}$ .

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Step 1.2.1

To write $70$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$70 \cdot \frac{10}{10} + \frac{5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1.2.2

Combine $70$ and $\frac{10}{10}$ .

$\frac{70 \cdot 10}{10} + \frac{5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{70 \cdot 10 + 5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $70$ by $10$ .

$\frac{700 + 5}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 1.2.4.2

Add $700$ and $5$ .

$\frac{705}{10} + 43 \frac{6}{10} + 34 \frac{5}{10}$

Step 2

Convert $43 \frac{6}{10}$ to an improper fraction.

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Step 2.1

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

$\frac{705}{10} + 43 + \frac{6}{10} + 34 \frac{5}{10}$

Step 2.2

Add $43$ and $\frac{6}{10}$ .

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Step 2.2.1

To write $43$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{705}{10} + 43 \cdot \frac{10}{10} + \frac{6}{10} + 34 \frac{5}{10}$

Step 2.2.2

Combine $43$ and $\frac{10}{10}$ .

$\frac{705}{10} + \frac{43 \cdot 10}{10} + \frac{6}{10} + 34 \frac{5}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{705}{10} + \frac{43 \cdot 10 + 6}{10} + 34 \frac{5}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $43$ by $10$ .

$\frac{705}{10} + \frac{430 + 6}{10} + 34 \frac{5}{10}$

Step 2.2.4.2

Add $430$ and $6$ .

$\frac{705}{10} + \frac{436}{10} + 34 \frac{5}{10}$

Step 3

Convert $34 \frac{5}{10}$ to an improper fraction.

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Step 3.1

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

$\frac{705}{10} + \frac{436}{10} + 34 + \frac{5}{10}$

Step 3.2

Add $34$ and $\frac{5}{10}$ .

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Step 3.2.1

To write $34$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{705}{10} + \frac{436}{10} + 34 \cdot \frac{10}{10} + \frac{5}{10}$

Step 3.2.2

Combine $34$ and $\frac{10}{10}$ .

$\frac{705}{10} + \frac{436}{10} + \frac{34 \cdot 10}{10} + \frac{5}{10}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{705}{10} + \frac{436}{10} + \frac{34 \cdot 10 + 5}{10}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $34$ by $10$ .

$\frac{705}{10} + \frac{436}{10} + \frac{340 + 5}{10}$

Step 3.2.4.2

Add $340$ and $5$ .

$\frac{705}{10} + \frac{436}{10} + \frac{345}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{705 + 436 + 345}{10}$

Step 5

Simplify by adding numbers.

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Step 5.1

Add $705$ and $436$ .

$\frac{1141 + 345}{10}$

Step 5.2

Add $1141$ and $345$ .

$\frac{1486}{10}$

Step 6

Cancel the common factor of $1486$ and $10$ .

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Step 6.1

Factor $2$ out of $1486$ .

$\frac{2 (743)}{10}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 743}{2 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 743}{2 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{743}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{743}{5}$

Decimal Form:

$148.6$

Mixed Number Form:

$148 \frac{3}{5}$