Adding Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators and keep the common denominator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to make the denominators the same when adding or subtracting fractions.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator (LCD), list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the sum of \( \frac{1}{2} + \frac{1}{4} \)?

Back

The sum is \( \frac{3}{4} \) or \( \frac{6}{8} \).

Front

How can you express \( \frac{1}{3} + \frac{3}{8} \) in simplest form?

Back

First, find a common denominator (24). Convert \( \frac{1}{3} \) to \( \frac{8}{24} \) and \( \frac{3}{8} \) to \( \frac{9}{24} \). Then add: \( \frac{8}{24} + \frac{9}{24} = \frac{17}{24} \).

Front

What is the result of \( \frac{1}{8} + \frac{1}{2} \)?

Back

The result is \( \frac{5}{8} \) or \( \frac{10}{16} \).

Front

What is the formula for adding two fractions \( \frac{a}{b} + \frac{c}{d} \)?

Back

The formula is \( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \).

Front

How do you convert \( \frac{1}{4} + \frac{4}{7} \) to a single fraction?

Back

Find a common denominator (28). Convert \( \frac{1}{4} \) to \( \frac{7}{28} \) and \( \frac{4}{7} \) to \( \frac{16}{28} \). Then add: \( \frac{7}{28} + \frac{16}{28} = \frac{23}{28} \).

Front

What is the importance of simplifying fractions after addition?

Back

Simplifying fractions makes them easier to understand and work with. It helps to present the answer in its simplest form.

Front

What are equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value or proportion, such as \( \frac{1}{2} \) and \( \frac{2}{4} \).