Exercise 1 Page 723

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

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

Since both denominators are prime numbers, we have to multiply each fraction by the denominator of the other fraction. First we multiply the numerator and denominator of

\frac{2}{3}

by

2 .

Then we can do the same and multiply

\frac{1}{2}

by

3

to create a common denominator.

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

ExpandFrac

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

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

ExpandFrac

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

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

Multiply

\frac{4}{6} + \frac{3}{6}

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

\frac{4}{6} + \frac{3}{6}

AddFrac

Add fractions

\frac{4 + 3}{6}

AddTerms

Add terms

\frac{7}{6}