Evaluate 1/7+1/49-2/343

$\frac{1}{7} + \frac{1}{49} - \frac{2}{343}$

Find the common denominator.

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Multiply $\frac{1}{7}$ by $\frac{49}{49}$ .

$\frac{1}{7} \cdot \frac{49}{49} + \frac{1}{49} - \frac{2}{343}$

Combine.

$\frac{1 \cdot 49}{7 \cdot 49} + \frac{1}{49} - \frac{2}{343}$

Multiply $\frac{1}{49}$ by $\frac{7}{7}$ .

$\frac{1 \cdot 49}{7 \cdot 49} + \frac{1}{49} \cdot \frac{7}{7} - \frac{2}{343}$

Combine.

$\frac{1 \cdot 49}{7 \cdot 49} + \frac{1 \cdot 7}{49 \cdot 7} - \frac{2}{343}$

Multiply $7$ by $49$ .

$\frac{1 \cdot 49}{343} + \frac{1 \cdot 7}{49 \cdot 7} - \frac{2}{343}$

Reorder the factors of $49 \cdot 7$ .

$\frac{1 \cdot 49}{343} + \frac{1 \cdot 7}{7 \cdot 49} - \frac{2}{343}$

Multiply $7$ by $49$ .

$\frac{1 \cdot 49}{343} + \frac{1 \cdot 7}{343} - \frac{2}{343}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{1 \cdot 49 + 1 \cdot 7 - 2}{343}$

Simplify.

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Multiply $49$ by $1$ .

$\frac{49 + 1 \cdot 7 - 2}{343}$

Multiply $7$ by $1$ .

$\frac{49 + 7 - 2}{343}$

Simplify the numerator.

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Add $49$ and $7$ .

$\frac{56 - 2}{343}$

Subtract $2$ from $56$ .

$\frac{54}{343}$

The result can be shown in multiple forms.

Exact Form:

$\frac{54}{343}$

Decimal Form:

$0.15743440 \dots$

Evaluate 1/7+1/49-2/343

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