Basic Math Examples

$- 1 \frac{3}{4} + 1 \frac{1}{2}$

Step 1

Convert $1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

$- (1 + \frac{3}{4}) + 1 \frac{1}{2}$

Step 1.2

Add $1$ and $\frac{3}{4}$ .

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Step 1.2.1

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

$- (\frac{4}{4} + \frac{3}{4}) + 1 \frac{1}{2}$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{4 + 3}{4} + 1 \frac{1}{2}$

Step 1.2.3

Add $4$ and $3$ .

$- \frac{7}{4} + 1 \frac{1}{2}$

Step 2

Convert $1 \frac{1}{2}$ to an improper fraction.

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Step 2.1

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

$- \frac{7}{4} + 1 + \frac{1}{2}$

Step 2.2

Add $1$ and $\frac{1}{2}$ .

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Step 2.2.1

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

$- \frac{7}{4} + \frac{2}{2} + \frac{1}{2}$

Step 2.2.2

Combine the numerators over the common denominator.

$- \frac{7}{4} + \frac{2 + 1}{2}$

Step 2.2.3

Add $2$ and $1$ .

$- \frac{7}{4} + \frac{3}{2}$

Step 3

To write $\frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{7}{4} + \frac{3}{2} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{3}{2}$ by $\frac{2}{2}$ .

$- \frac{7}{4} + \frac{3 \cdot 2}{2 \cdot 2}$

Step 4.2

Multiply $2$ by $2$ .

$- \frac{7}{4} + \frac{3 \cdot 2}{4}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 7 + 3 \cdot 2}{4}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $3$ by $2$ .

$\frac{- 7 + 6}{4}$

Step 6.2

Add $- 7$ and $6$ .

$\frac{- 1}{4}$

Step 7

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$