Evaluate 1/4+1/10+2/5

$\frac{1}{4} + \frac{1}{10} + \frac{2}{5}$

Find the common denominator.

Tap for more steps…

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

$\frac{1}{4} \cdot \frac{5}{5} + \frac{1}{10} + \frac{2}{5}$

Combine.

$\frac{1 \cdot 5}{4 \cdot 5} + \frac{1}{10} + \frac{2}{5}$

Multiply $\frac{1}{10}$ by $\frac{2}{2}$ .

$\frac{1 \cdot 5}{4 \cdot 5} + \frac{1}{10} \cdot \frac{2}{2} + \frac{2}{5}$

Combine.

$\frac{1 \cdot 5}{4 \cdot 5} + \frac{1 \cdot 2}{10 \cdot 2} + \frac{2}{5}$

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

$\frac{1 \cdot 5}{4 \cdot 5} + \frac{1 \cdot 2}{10 \cdot 2} + \frac{2}{5} \cdot \frac{4}{4}$

Combine.

$\frac{1 \cdot 5}{4 \cdot 5} + \frac{1 \cdot 2}{10 \cdot 2} + \frac{2 \cdot 4}{5 \cdot 4}$

Multiply $4$ by $5$ .

$\frac{1 \cdot 5}{20} + \frac{1 \cdot 2}{10 \cdot 2} + \frac{2 \cdot 4}{5 \cdot 4}$

Reorder the factors of $10 \cdot 2$ .

$\frac{1 \cdot 5}{20} + \frac{1 \cdot 2}{2 \cdot 10} + \frac{2 \cdot 4}{5 \cdot 4}$

Multiply $2$ by $10$ .

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

Reorder the factors of $5 \cdot 4$ .

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

Multiply $4$ by $5$ .

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

Combine fractions.

Tap for more steps…

Combine fractions with similar denominators.

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

Multiply.

Tap for more steps…

Multiply $5$ by $1$ .

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

Multiply $2$ by $1$ .

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

Multiply $2$ by $4$ .

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

Simplify the numerator.

Tap for more steps…

Add $5$ and $2$ .

$\frac{7 + 8}{20}$

Add $7$ and $8$ .

$\frac{15}{20}$

Cancel the common factor of $15$ and $20$ .

Tap for more steps…

Factor $5$ out of $15$ .

$\frac{5 (3)}{20}$

Cancel the common factors.

Tap for more steps…

Factor $5$ out of $20$ .

$\frac{5 \cdot 3}{5 \cdot 4}$

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 4}$

Rewrite the expression.

$\frac{3}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$

Evaluate 1/4+1/10+2/5

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems