Solve 13/14 - (1/2 + 2/7) | 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

$$\frac{13}{14}-(\frac{1}{2}+\frac{2}{7})$$

Evaluate

$\frac{1}{7}\approx 0.142857143$

Solution Steps

Least common multiple of $2$ and $7$ is $14$. Convert $\frac{1}{2}$ and $\frac{2}{7}$ to fractions with denominator $14$.

$$\frac{13}{14}-\left(\frac{7}{14}+\frac{4}{14}\right)$$

Since $\frac{7}{14}$ and $\frac{4}{14}$ have the same denominator, add them by adding their numerators.

$$\frac{13}{14}-\frac{7+4}{14}$$

Add $7$ and $4$ to get $11$.

$$\frac{13}{14}-\frac{11}{14}$$

Since $\frac{13}{14}$ and $\frac{11}{14}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-11}{14}$$

Subtract $11$ from $13$ to get $2$.

$$\frac{2}{14}$$

Reduce the fraction $\frac{2}{14}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{7}$$

Factor

$\frac{1}{7} = 0.14285714285714285$