Comparing and Converting Fractions and Mixed Numbers

Multiplying the numerator and denominator by the same number creates...

• a mixed number

• an improper fraction

• a simplified fraction.

• an equivalent fraction

Answer explanation

Multiply the whole number by the denominator. Then add on the numerator. The denominator stays the same. You have just...

• Converted from an improper fraction into a mixed number.

• Made an equivalent fraction

• Converted from a mixed number into an improper fraction.

• Found a fraction of an amount.

Answer explanation

Work out how many times the denominator goes into the numerator (this creates the whole number). Then any remainder becomes the new numerator. The denominator stays the same as the original fraction. This is the method for...

• Multiplying Fractions

• Converting and improper fraction into a mixed number

• Subtracting Fractions

• Converting a mixed number into an improper fraction.

Answer explanation

Convert both fractions into equivalents with the same denominator by finding the lowest common multiple. Then focus on the numerators. This method works for...

• comparing, ordering, adding and subtracting fractions.

• comparing and ordering fractions only.

• adding and subtracting fractions only.

• Finding a fraction of an amount.

Answer explanation

Which mixed number is represented by the model?

• 3/4

• 2 4/3

• 2 3/4

• 2 1/4

What mixed number does this represent

• 2  3/8

• 2  1/4

• 3  5/8

• 3   3/8

Tell whether the answer will be less than or greater than the first number in the equation:

1 1/2 - 2/3 = ​ ​ ​ (a)  

• less

• greater