Fractions without a Calculator

Canceling Down

Identifying common factors in the numerator and denominator to simplify fractions.

Greatest Common Factor (GCF)

The largest factor that two or more numbers have in common, used to simplify fractions.

Mixed Number

A whole number combined with a proper fraction.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator.

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

Divide the numerator by the denominator; the quotient is the whole number, and the remainder is the new numerator.

When multiplying fractions, what do you do?

Multiply the numerators together and the denominators together.

Dividing Fractions

Multiply by the reciprocal of the second fraction.

Common Denominators

Necessary for adding or subtracting fractions, found by identifying the least common multiple (LCM) of the denominators involved.

How do you find the least common multiple (LCM) of two numbers?

Identify the smallest number that is a multiple of both numbers.

What is 9/20 of £360?

£162, found by multiplying £360 by 9/20.

Write 180 as a fraction of 80.

Expressed as 180/80, simplified to 9/4 or 2.25.

To subtract mixed numbers, what is the first step?

Convert the mixed numbers into improper fractions.

What do you do to add fractions?

Find a common denominator, then add the numerators.

Simple conversion of Mixed Number to Improper Fraction

Multiply the whole number by the denominator and add the numerator.