Exercise 49 Page 148

Practice makes perfect

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with the same denominator.

\frac{1 1}{1 2} - \frac{7}{1 2}

Since we have a common denominator, we can proceed to simplifying the expression.

\frac{1 1}{1 2} - \frac{7}{1 2}

SubFrac

Subtract fractions

\frac{1 1 - 7}{1 2}

SubTerm

Subtract term

\frac{4}{1 2}

ReduceFrac

$\frac{a}{b} = \frac{a / 4}{b / 4}$

\frac{1}{3}

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have three fractions with different denominators.

\frac{1}{2} + \frac{1}{8} + \frac{3}{4}

Since

8

is a multiple of both

2

and

4,

we can first multiply both the numerator and denominator of

\frac{1}{2}

4

to create a common denominator.

\frac{1}{2} + \frac{1}{8} + \frac{3}{4}

ExpandFrac

$\frac{a}{b} = \frac{a \cdot 4}{b \cdot 4}$

\frac{1 \cdot 4}{2 \cdot 4} + \frac{1}{8} + \frac{3}{4}

Multiply

\frac{4}{8} + \frac{1}{8} + \frac{3}{4}

Next, we can multiply both the numerator and denominator of

\frac{3}{4}

2

to create a common denominator.

\frac{4}{8} + \frac{1}{8} + \frac{3}{4}

ExpandFrac

$\frac{a}{b} = \frac{a \cdot 2}{b \cdot 2}$

\frac{4}{8} + \frac{1}{8} + \frac{3 \cdot 2}{4 \cdot 2}

Multiply

\frac{4}{8} + \frac{1}{8} + \frac{6}{8}

Now that we have a common denominator, we can proceed to simplifying the expression.

\frac{4}{8} + \frac{1}{8} + \frac{6}{8}

AddFrac

Add fractions

\frac{4 + 1 + 6}{8}

AddTerms

Add terms

\frac{1 1}{8}

FracToMixed

Write fraction as a mixed number

1 \frac{3}{8}

When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators.

\frac{3}{4} - \frac{1}{6}

Since

12

is a multiple of both

4

and

6,

we can first multiply both the numerator and denominator of

\frac{3}{4}

3

to create a common denominator.

\frac{3}{4} - \frac{1}{6}

ExpandFrac

$\frac{a}{b} = \frac{a \cdot 3}{b \cdot 3}$

\frac{3 \cdot 3}{4 \cdot 3} - \frac{1}{6}

Multiply

\frac{9}{1 2} - \frac{1}{6}

Next, we can multiply both the numerator and denominator of

\frac{1}{6}

2

to create a common denominator.

\frac{9}{1 2} - \frac{1}{6}

ExpandFrac

$\frac{a}{b} = \frac{a \cdot 2}{b \cdot 2}$

\frac{9}{1 2} - \frac{1 \cdot 2}{6 \cdot 2}

Multiply

\frac{9}{1 2} - \frac{2}{1 2}

Now that we have a common denominator, we can proceed to simplifying the expression.

\frac{9}{1 2} - \frac{2}{1 2}

AddFrac

Add fractions

\frac{9 - 2}{1 2}

AddTerms

Add terms

\frac{7}{1 2}

Subchapter links

3.2.1 Subtraction of Integers p.143-144

3.2.2 Connecting Addition and Subtraction p.147-148

3.2.3 Multiplication as Repeated Subtraction p.152

3.2.4 Multiplication of Decimals p.158

3.2.5 Addition, Subtraction, Multiplication, and Division of Integers p.161

Exercise 49 Page 148

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