Adding and Subtracting Fractions

Front

What must you have to in order to add and subtract fractions?

Back

common denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators.

Front

What is the first step in adding fractions with different denominators?

Back

Find a common denominator.

Front

If you have the fractions \(\frac{1}{4}\) and \(\frac{1}{6}\), what is their common denominator?

Back

The common denominator is 12.

Front

How do you add \(\frac{1}{4}\) and \(\frac{1}{6}\)?

Back

Convert to a common denominator: \(\frac{3}{12} + \frac{2}{12} = \frac{5}{12}\).

Front

What is the result of subtracting \(\frac{3}{5}\) from \(\frac{4}{5}\)?

Back

The result is \(\frac{1}{5}\).

Front

How do you simplify the fraction \(\frac{8}{12}\)?

Back

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 4. The simplified fraction is \(\frac{2}{3}\).

Front

What is the fraction of boys if there are 35 boys and 75 total students?

Back

The fraction of boys is \(\frac{35}{75}\), which simplifies to \(\frac{7}{15}\).

Front

What is the process to subtract \(\frac{5}{8}\) from \(\frac{7}{8}\)?

Back

Since the denominators are the same, subtract the numerators: \(7 - 5 = 2\), so the result is \(\frac{2}{8}\), which simplifies to \(\frac{1}{4}\).