Basic Math Examples

$((2 - 1.55555) \cdot (\frac{3}{4} + 1.44444) + 1.151515) \cdot \frac{1}{2}$

Step 1

Simplify each term.

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Step 1.1

Subtract $1.55555$ from $2$ .

$(0.44445 \cdot (\frac{3}{4} + 1.44444) + 1.151515) \cdot \frac{1}{2}$

Step 1.2

To write $1.44444$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(0.44445 \cdot (\frac{3}{4} + 1.44444 \cdot \frac{4}{4}) + 1.151515) \cdot \frac{1}{2}$

Step 1.3

Combine $1.44444$ and $\frac{4}{4}$ .

$(0.44445 \cdot (\frac{3}{4} + \frac{1.44444 \cdot 4}{4}) + 1.151515) \cdot \frac{1}{2}$

Step 1.4

Combine the numerators over the common denominator.

$(0.44445 \cdot \frac{3 + 1.44444 \cdot 4}{4} + 1.151515) \cdot \frac{1}{2}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $1.44444$ by $4$ .

$(0.44445 \cdot \frac{3 + 5.77776}{4} + 1.151515) \cdot \frac{1}{2}$

Step 1.5.2

Add $3$ and $5.77776$ .

$(0.44445 \cdot \frac{8.77776}{4} + 1.151515) \cdot \frac{1}{2}$

Step 1.6

Divide $8.77776$ by $4$ .

$(0.44445 \cdot 2.19444 + 1.151515) \cdot \frac{1}{2}$

Step 1.7

Multiply $0.44445$ by $2.19444$ .

$(0.97531885 + 1.151515) \cdot \frac{1}{2}$

Step 2

Combine fractions.

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Step 2.1

Add $0.97531885$ and $1.151515$ .

$2.12683385 \cdot \frac{1}{2}$

Step 2.2

Combine $2.12683385$ and $\frac{1}{2}$ .

$\frac{2.12683385}{2}$

Step 2.3

Divide $2.12683385$ by $2$ .

$1.06341692$