Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the number of parts and the denominator is the total number of equal parts.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction \( \frac{8}{4} \)?

Back

To simplify \( \frac{8}{4} \), divide both the numerator and denominator by their greatest common divisor (GCD), which is 4. Thus, \( \frac{8}{4} = \frac{2}{1} = 2 \).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

How do you find the GCD of 6 and 9?

Back

The GCD of 6 and 9 is 3, as it is the largest number that divides both 6 and 9 evenly.

Front

What is the simplified form of \( \frac{3}{6} \)?

Back

The simplified form of \( \frac{3}{6} \) is \( \frac{1}{2} \), as both the numerator and denominator can be divided by their GCD, which is 3.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

How can you create an equivalent fraction for \( \frac{1}{2} \)?

Back

To create an equivalent fraction for \( \frac{1}{2} \), you can multiply both the numerator and denominator by the same non-zero integer. For example, multiplying by 2 gives \( \frac{2}{4} \).

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the simplified form of \( \frac{5}{10} \)?

Back

The simplified form of \( \frac{5}{10} \) is \( \frac{1}{2} \), as both the numerator and denominator can be divided by their GCD, which is 5.

Front

What is the process of dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide \( \frac{1}{2} \) by \( \frac{1}{4} \), you multiply \( \frac{1}{2} \) by \( \frac{4}{1} \), resulting in 2.

Tags

CCSS.6.NS.A.1