Simple fractions only have a fractional part. Simple fractions can be used to scale other numbers up or down. This helps you to quickly compare different expressions without performing complex calculations.
By comparing the numerator (the top number of a fraction) and the denominator (the bottom number of a fraction), you can identify whether it is greater than, equal to, or less than .
Identify whether the following fractions: , are greater than, equal to, or less than .
The numerator is less than the denominator.
The numerator is equal to the denominator.
The numerator is greater than the denominator.
By comparing simple fractions, expressions can be sorted from largest to smallest without performing multiplication.
Andy and Janet host a bake sale with cakes each. Andy manages to sell of his cakes while Janet sells . Who sold more cakes?
Form expressions for the number of cakes Andy and Janet have sold.
Compare the expressions using scaling.
is greater than as the numerator is larger.
Therefore, Janet sold more cakes.
Note: If you wish to multiply a number by a fraction, multiply the number by the numerator and then divide by the denominator.
Arrange the following expressions in order of size, from largest to smallest:
Rearrange all the expressions to be in terms of a common multiple.
Compare the uncommon multiples in each expression by checking whether the fractions are smaller than, greater than or equal to .
Rearrange the expressions.
Question: How do you multiply a number by a fraction?
Answer: Multiply the number with the numerator and leave the denominator the same.
Question: What are simple fractions?
Answer: Simple fractions only have a fractional part.
Question: How do you know if a fraction is less than 1?
Answer: If the numerator is less than the denominator.