Combine 5/6-1 1/4 - Math help

$\frac{5}{6} - 1 \frac{1}{4}$

Convert $1 \frac{1}{4}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$\frac{5}{6} - (1 + \frac{1}{4})$

Add $1$ and $\frac{1}{4}$ .

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

$\frac{5}{6} - (\frac{4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$\frac{5}{6} - \frac{4 + 1}{4}$

Add $4$ and $1$ .

$\frac{5}{6} - \frac{5}{4}$

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{6} \cdot \frac{2}{2} - \frac{5}{4}$

To write $- \frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{6} \cdot \frac{2}{2} - \frac{5}{4} \cdot \frac{3}{3}$

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{5}{6}$ and $\frac{2}{2}$ .

$\frac{5 \cdot 2}{6 \cdot 2} - \frac{5}{4} \cdot \frac{3}{3}$

Multiply $6$ by $2$ .

$\frac{5 \cdot 2}{12} - \frac{5}{4} \cdot \frac{3}{3}$

Multiply $\frac{5}{4}$ and $\frac{3}{3}$ .

$\frac{5 \cdot 2}{12} - \frac{5 \cdot 3}{4 \cdot 3}$

Multiply $4$ by $3$ .

$\frac{5 \cdot 2}{12} - \frac{5 \cdot 3}{12}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 - 5 \cdot 3}{12}$

Simplify the numerator.

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Multiply $5$ by $2$ .

$\frac{10 - 5 \cdot 3}{12}$

Multiply $- 5$ by $3$ .

$\frac{10 - 15}{12}$

Subtract $15$ from $10$ .

$\frac{- 5}{12}$

Move the negative in front of the fraction.

$- \frac{5}{12}$

Combine 5/6-1 1/4

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