How do you reduce a fraction to its lowest terms?
A fraction is a way of expressing a number as part of a whole. To reduce a fraction to its lowest term, divide the numerator and denominator by the greatest common factor (GCF) of the two numbers. The result is the reduced fraction in its lowest terms.
Reducing Fractions to the Lowest Term
Fraction: A number written in the form of one integer divided by another integer, e.g. 3/4. Numerator: The number on the top of the fraction, e.g. 3 in 3/4. Denominator: The number on the bottom of the fraction, e.g. 4 in 3/4.
Concepts:
How can you reduce a fraction to its lowest term?
- By dividing both the numerator and denominator by the same number
- By multiplying both the numerator and denominator by the same number
- By adding both the numerator and denominator together
- By subtracting both the numerator and denominator
Ancient Egyptians used fractions as early as 2000 BC. The symbol used to denote fractions is called a vinculum. Euclid was one of the first mathematicians to use fractions to solve mathematical problems.
Fun facts:
Draw / write: What is a fraction? How can we identify fractions?
Draw / write: What is meant by reducing a fraction to its lowest terms? How can we do this?
Can you think of a fraction that is already in its lowest terms?
What strategies can you use to reduce a fraction to its lowest terms?