NZ Level 3
topic badge
Compare add/sub statements with fractions II
Lesson

You may have learned how to add and subtract fractions.

When comparing values of statements we use special symbols:

  • $<$< means "is less than"
  • $>$> means "is greater than"
  • $=$= means "is equal to"

Now watch this video to learn about comparing fraction statements.

Sometimes the fractions are over one, or there are more than two fractions in the statements. As you can see, making the fractions equivalent so they have the same denominators can make it easier to compare statements with fractions. Watch this video to learn about harder statements.

Remember!

Evaluate the statement and then compare the value.

To help solve the statement, draw a representation (a number line or rectangle).

Examples

Question 1

We want to compare $\frac{8}{12}$812 to $\frac{1}{12}+\frac{2}{4}$112+24.

  1. Fill in the box to convert $\frac{2}{4}$24 into twelfths.

    $\frac{2}{4}=\frac{\editable{}}{12}$24=12

  2. Enter the symbol, $<$<, $>$> or $=$=, that makes the statement true.

    $\frac{8}{12}\editable{}\frac{1}{12}+\frac{2}{4}$812112+24

Question 2

We want to compare $8\frac{9}{10}-2\frac{1}{5}$8910215 to $6\frac{3}{5}$635.

  1. Fill in the box to convert $2\frac{1}{5}$215 and $6\frac{3}{5}$635 into tenths.

    $2\frac{1}{5}=2$215=2$\frac{\editable{}}{10}$10

    $6\frac{3}{5}=6$635=6$\frac{\editable{}}{10}$10

  2. Enter the symbol, $<$<, $>$> or $=$=, that makes the statement true.

    $8\frac{9}{10}-2\frac{1}{5}\editable{}6\frac{3}{5}$8910215635

QUESTION 3

We want to compare $\frac{5}{8}$58 to $\frac{1}{8}+\frac{2}{4}+\frac{1}{4}$18+24+14.

  1. Fill in the boxes to convert $\frac{2}{4}$24 and $\frac{1}{4}$14 into eighths.

    $\frac{2}{4}=\frac{\editable{}}{8}$24=8

    $\frac{1}{4}=\frac{\editable{}}{8}$14=8

  2. Enter the symbol, $<$<, $>$> or $=$=, that makes the statement true.

    $\frac{5}{8}\editable{}\frac{1}{8}+\frac{2}{4}+\frac{1}{4}$5818+24+14

Outcomes

NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

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