SME
Grade 4 Math · Fractions
Fraction equivalence and comparison
Use this for “Write a fraction equal to 3/4 with 12 as the denominator.”
Diagram
3/4: 3 jumps of 1/4 from 0.
This is an example. Type your own values to start a new problem.
Numerator
Denominator
=
New numerator
New denominator
Factor
example
Formulas
3 × 3 = 9
Numerator × factor = new numerator
4 × 3 = 12
Denominator × factor = new denominator
Assumptions
•
Multiply the numerator and the denominator by the same number: the fraction keeps its size.
•
Each part is cut into that many smaller parts: more parts, the same amount of the whole.
•
Denominators 2, 3, 4, 5, 6, 8, 10 and 12; factors to 10, so tenths can become hundredths.
•
It works past 1 whole too: 10/3 = 40/12.
Step-by-step
WE KNOW
Numerator: 3
Denominator: 4
Factor: 3
FIND
new numerator, new denominator
Step 1 · Find new numerator
3 × 3 = ?
Numerator × factor = new numerator
Multiply the numerator by the factor.
New numerator = 9
Step 2 · Find new denominator
4 × 3 = ?
Denominator × factor = new denominator
Multiply the denominator by the same factor.
New denominator = 12
Check
Put the numbers back in. Both sides should match.
3 × 3 = 9 ✓
4
×
3
=
12,
so
3
4
=
9
12
✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.