Basic Math Examples

$(\frac{7}{9} - \frac{5}{6}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1

Simplify each term.

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Step 1.1

To write $\frac{7}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.2

To write $- \frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{7}{9} \cdot \frac{2}{2} - \frac{5}{6} \cdot \frac{3}{3}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.3.1

Multiply $\frac{7}{9}$ by $\frac{2}{2}$ .

$(\frac{7 \cdot 2}{9 \cdot 2} - \frac{5}{6} \cdot \frac{3}{3}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.3.2

Multiply $9$ by $2$ .

$(\frac{7 \cdot 2}{18} - \frac{5}{6} \cdot \frac{3}{3}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.3.3

Multiply $\frac{5}{6}$ by $\frac{3}{3}$ .

$(\frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{6 \cdot 3}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.3.4

Multiply $6$ by $3$ .

$(\frac{7 \cdot 2}{18} - \frac{5 \cdot 3}{18}) \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.4

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 5 \cdot 3}{18} \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $7$ by $2$ .

$\frac{14 - 5 \cdot 3}{18} \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.5.2

Multiply $- 5$ by $3$ .

$\frac{14 - 15}{18} \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.5.3

Subtract $15$ from $14$ .

$\frac{- 1}{18} \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.6

Cancel the common factor of $18$ .

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Step 1.6.1

Cancel the common factor.

$\frac{- 1}{18} \cdot 18 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.6.2

Rewrite the expression.

$- 1 + 3.95 \cdot 6 - 1.45 \cdot 6$

Step 1.7

Multiply $3.95$ by $6$ .

$- 1 + 23.7 - 1.45 \cdot 6$

Step 1.8

Multiply $- 1.45$ by $6$ .

$- 1 + 23.7 - 8.7$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 1$ and $23.7$ .

$22.7 - 8.7$

Step 2.2

Subtract $8.7$ from $22.7$ .

$14$