Adding Fractions with Unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \( \frac{1}{2} \), 1 is the part and 2 is the whole.

Front

What does it mean to have unlike denominators in fractions?

Back

Unlike denominators are denominators that are not the same. For example, \( \frac{1}{3} \) and \( \frac{1}{4} \) have unlike denominators.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It allows you to add or subtract the fractions.

Front

What is the first step in adding \( \frac{1}{3} \) and \( \frac{1}{4} \)?

Back

The first step is to find the least common denominator (LCD) of the two fractions, which is 12.

Front

Convert \( \frac{1}{3} \) to an equivalent fraction with a denominator of 12.

Back

To convert \( \frac{1}{3} \) to an equivalent fraction with a denominator of 12, multiply the numerator and denominator by 4: \( \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \).

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Convert \( \frac{1}{4} \) to an equivalent fraction with a denominator of 12.

Back

To convert \( \frac{1}{4} \) to an equivalent fraction with a denominator of 12, multiply the numerator and denominator by 3: \( \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \).

Front

What is the sum of \( \frac{4}{12} \) and \( \frac{3}{12} \)?

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The sum is \( \frac{4 + 3}{12} = \frac{7}{12} \).

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What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It involves reducing the fraction to its simplest form.

Front

How do you simplify the fraction \( \frac{6}{8} \)?

Back

To simplify \( \frac{6}{8} \), divide both the numerator and denominator by their greatest common divisor (GCD), which is 2: \( \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \).