Basic Math Examples

$\frac{90 + 87}{\frac{90}{2.7} + \frac{87}{3}}$

Step 1

Cancel the common factor of $87$ and $3$ .

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Step 1.1

Factor $3$ out of $87$ .

$\frac{90 + 87}{\frac{90}{2.7} + \frac{3 \cdot 29}{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3$ .

$\frac{90 + 87}{\frac{90}{2.7} + \frac{3 \cdot 29}{3 (1)}}$

Step 1.2.2

Cancel the common factor.

$\frac{90 + 87}{\frac{90}{2.7} + \frac{3 \cdot 29}{3 \cdot 1}}$

Step 1.2.3

Rewrite the expression.

$\frac{90 + 87}{\frac{90}{2.7} + \frac{29}{1}}$

Step 1.2.4

Divide $29$ by $1$ .

$\frac{90 + 87}{\frac{90}{2.7} + 29}$

Step 2

Multiply the numerator and denominator of the fraction by $2.7$ .

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Step 2.1

Multiply $\frac{90 + 87}{\frac{90}{2.7} + 29}$ by $\frac{2.7}{2.7}$ .

$\frac{2.7}{2.7} \cdot \frac{90 + 87}{\frac{90}{2.7} + 29}$

Step 2.2

Combine.

$\frac{2.7 (90 + 87)}{2.7 (\frac{90}{2.7} + 29)}$

Step 3

Apply the distributive property.

$\frac{2.7 \cdot 90 + 2.7 \cdot 87}{2.7 (\frac{90}{2.7}) + 2.7 \cdot 29}$

Step 4

Cancel the common factor of $2.7$ .

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Step 4.1

Cancel the common factor.

$\frac{2.7 \cdot 90 + 2.7 \cdot 87}{2.7 (\frac{90}{2.7}) + 2.7 \cdot 29}$

Step 4.2

Rewrite the expression.

$\frac{2.7 \cdot 90 + 2.7 \cdot 87}{90 + 2.7 \cdot 29}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2.7$ by $90$ .

$\frac{243 + 2.7 \cdot 87}{90 + 2.7 \cdot 29}$

Step 5.2

Multiply $2.7$ by $87$ .

$\frac{243 + 234.9}{90 + 2.7 \cdot 29}$

Step 5.3

Add $243$ and $234.9$ .

$\frac{477.9}{90 + 2.7 \cdot 29}$

Step 6

Simplify the denominator.

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Step 6.1

Multiply $2.7$ by $29$ .

$\frac{477.9}{90 + 78.3}$

Step 6.2

Add $90$ and $78.3$ .

$\frac{477.9}{168.3}$

Step 7

Divide $477.9$ by $168.3$ .

$2.83957219$