Evaluate 2/5+1/4+2

$\frac{2}{5} + \frac{1}{4} + 2$

Find the common denominator.

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Multiply $\frac{2}{5}$ by $\frac{4}{4}$ .

$\frac{2}{5} \cdot \frac{4}{4} + \frac{1}{4} + 2$

Combine.

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1}{4} + 2$

Multiply $\frac{1}{4}$ by $\frac{5}{5}$ .

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1}{4} \cdot \frac{5}{5} + 2$

Combine.

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1 \cdot 5}{4 \cdot 5} + 2$

Write $2$ as a fraction with denominator $1$ .

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{2}{1}$

Multiply $\frac{2}{1}$ by $\frac{20}{20}$ .

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{2}{1} \cdot \frac{20}{20}$

Multiply $\frac{2}{1}$ and $\frac{20}{20}$ .

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{2 \cdot 20}{20}$

Reorder the factors of $5 \cdot 4$ .

$\frac{2 \cdot 4}{4 \cdot 5} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{2 \cdot 20}{20}$

Multiply $4$ by $5$ .

$\frac{2 \cdot 4}{20} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{2 \cdot 20}{20}$

Multiply $4$ by $5$ .

$\frac{2 \cdot 4}{20} + \frac{1 \cdot 5}{20} + \frac{2 \cdot 20}{20}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{2 \cdot 4 + 1 \cdot 5 + 2 \cdot 20}{20}$

Multiply.

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Multiply $2$ by $4$ .

$\frac{8 + 1 \cdot 5 + 2 \cdot 20}{20}$

Multiply $5$ by $1$ .

$\frac{8 + 5 + 2 \cdot 20}{20}$

Multiply $2$ by $20$ .

$\frac{8 + 5 + 40}{20}$

Simplify the numerator.

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Add $8$ and $5$ .

$\frac{13 + 40}{20}$

Add $13$ and $40$ .

$\frac{53}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{53}{20}$

Decimal Form:

$2.65$

Mixed Number Form:

$2 \frac{13}{20}$

Evaluate 2/5+1/4+2

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