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 part and the denominator is the whole.

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 lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you find the greatest common divisor (GCD) of two numbers?

Back

The GCD of two numbers is the largest positive integer that divides both numbers without leaving a remainder. It can be found using the Euclidean algorithm.

Front

What is the simplified form of the fraction 4/8?

Back

1/2

Front

What is the simplified form of the fraction 10/25?

Back

2/5

Front

How do you simplify the fraction 12/16?

Back

Divide both the numerator and denominator by their GCD, which is 4, resulting in 3/4.

Front

What is the relationship between fractions and division?

Back

A fraction can be interpreted as a division of the numerator by the denominator.

Tags

CCSS.5.NF.B.3

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

Tags

CCSS.3.NF.A.3C

Front

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

Back

Divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.