Algebra Examples

$\frac{185}{100} + 50 % + 4 %$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $185$ and $100$ .

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Step 1.1.1

Factor $5$ out of $185$ .

$\frac{5 (37)}{100} + 50 % + 4 %$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $5$ out of $100$ .

$\frac{5 \cdot 37}{5 \cdot 20} + 50 % + 4 %$

Step 1.1.2.2

Cancel the common factor.

$\frac{5 \cdot 37}{5 \cdot 20} + 50 % + 4 %$

Step 1.1.2.3

Rewrite the expression.

$\frac{37}{20} + 50 % + 4 %$

Step 1.2

Convert $50 %$ to a decimal.

$\frac{37}{20} + 0.5 + 4 %$

Step 1.3

Convert $4 %$ to a decimal.

$\frac{37}{20} + 0.5 + 0.04$

Step 2

Find the common denominator.

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Step 2.1

Write $0.5$ as a fraction with denominator $1$ .

$\frac{37}{20} + \frac{0.5}{1} + 0.04$

Step 2.2

Multiply $\frac{0.5}{1}$ by $\frac{20}{20}$ .

$\frac{37}{20} + \frac{0.5}{1} \cdot \frac{20}{20} + 0.04$

Step 2.3

Multiply $\frac{0.5}{1}$ by $\frac{20}{20}$ .

$\frac{37}{20} + \frac{0.5 \cdot 20}{20} + 0.04$

Step 2.4

Write $0.04$ as a fraction with denominator $1$ .

$\frac{37}{20} + \frac{0.5 \cdot 20}{20} + \frac{0.04}{1}$

Step 2.5

Multiply $\frac{0.04}{1}$ by $\frac{20}{20}$ .

$\frac{37}{20} + \frac{0.5 \cdot 20}{20} + \frac{0.04}{1} \cdot \frac{20}{20}$

Step 2.6

Multiply $\frac{0.04}{1}$ by $\frac{20}{20}$ .

$\frac{37}{20} + \frac{0.5 \cdot 20}{20} + \frac{0.04 \cdot 20}{20}$

Step 3

Combine the numerators over the common denominator.

$\frac{37 + 0.5 \cdot 20 + 0.04 \cdot 20}{20}$

Step 4

Simplify each term.

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Step 4.1

Multiply $0.5$ by $20$ .

$\frac{37 + 10 + 0.04 \cdot 20}{20}$

Step 4.2

Multiply $0.04$ by $20$ .

$\frac{37 + 10 + 0.8}{20}$

Step 5

Simplify the expression.

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Step 5.1

Add $37$ and $10$ .

$\frac{47 + 0.8}{20}$

Step 5.2

Add $47$ and $0.8$ .

$\frac{47.8}{20}$

Step 5.3

Divide $47.8$ by $20$ .

$2.39$