5.NF.1 Adding and Subtracting Fractions

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). For example, in the fraction \( \frac{1}{2} \), 1 is the numerator and 2 is the denominator.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, \( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add \( \frac{1}{3} + \frac{1}{4} \), the common denominator is 12: \( \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \( 2 \frac{1}{3} \) is a mixed number, where 2 is the whole number and \( \frac{1}{3} \) is the fraction.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, for \( 2 \frac{1}{3} \): \( 2 \times 3 + 1 = 7 \), so it becomes \( \frac{7}{3} \).

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, \( \frac{5}{8} - \frac{2}{8} = \frac{3}{8} \).

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, and then subtract the numerators. For example, \( \frac{3}{4} - \frac{1}{2} \) becomes \( \frac{3}{4} - \frac{2}{4} = \frac{1}{4} \).

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 add or subtract fractions with different denominators.

Front

What is the process to simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify \( \frac{8}{12} \), the GCF is 4: \( \frac{8 \div 4}{12 \div 4} = \frac{2}{3} \).

Front

What is the result of adding \( 2 \frac{1}{3} + 2 \frac{3}{9} \)?

Back

The result is \( 4 \frac{6}{9} \), which simplifies to \( 4 \frac{2}{3} \).