Solve 1/4 + 2/5 + 3/10 = | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{1}{4}+\frac{2}{5}+\frac{3}{10}=$$

Evaluate

$\frac{19}{20}=0.95$

Solution Steps

Least common multiple of $4$ and $5$ is $20$. Convert $\frac{1}{4}$ and $\frac{2}{5}$ to fractions with denominator $20$.

$$\frac{5}{20}+\frac{8}{20}+\frac{3}{10}$$

Since $\frac{5}{20}$ and $\frac{8}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{5+8}{20}+\frac{3}{10}$$

Add $5$ and $8$ to get $13$.

$$\frac{13}{20}+\frac{3}{10}$$

Least common multiple of $20$ and $10$ is $20$. Convert $\frac{13}{20}$ and $\frac{3}{10}$ to fractions with denominator $20$.

$$\frac{13}{20}+\frac{6}{20}$$

Since $\frac{13}{20}$ and $\frac{6}{20}$ have the same denominator, add them by adding their numerators.

$$\frac{13+6}{20}$$

Add $13$ and $6$ to get $19$.

$$\frac{19}{20}$$

Factor

$\frac{19}{2 ^ {2} \cdot 5} = 0.95$