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 that common denominator, and then add the numerators while keeping 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, allowing them to be added or subtracted.

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 \( \frac{3}{4} \).

Front

What is the sum of \( \frac{5}{8} + \frac{1}{3} \)?

Back

The sum is \( \frac{23}{24} \).

Front

What is the sum of \( \frac{1}{3} + \frac{1}{6} \)?

Back

The sum is \( \frac{1}{2} \) or \( \frac{3}{6} \).

Front

What is the sum of \( \frac{2}{4} + \frac{2}{5} \)?

Back

The sum is \( \frac{9}{10} \) or \( \frac{18}{20} \).

Front

What is the sum of \( \frac{3}{5} + \frac{1}{6} \)?

Back

The sum is \( \frac{23}{30} \).

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, achieved by multiplying or dividing both the numerator and denominator by the same non-zero number.

Front

How can you convert a fraction to an equivalent fraction with a different denominator?

Back

To convert a fraction to an equivalent fraction with a different denominator, multiply the numerator and denominator by the same number that will give the desired denominator.