SME
Grade 6 Math · The Number System
Divide fractions
Use this for “What is 2/3 ÷ 3/4?”
Diagram
Not one whole group of 3/4 fits in 2/3; it holds 8/9 of a group.
This is an example. Type your own values to start a new problem.
a
b
÷
c
d
=
e
f
Formulas
2
3
÷
3
4
=
8
9
Dividend numerator × divisor denominator = quotient numerator
2
3
÷
3
4
=
8
9
Dividend denominator × divisor numerator = quotient denominator
Assumptions
•
Dividing by a fraction is multiplying by its reciprocal: flip its numerator and denominator.
•
The divisor is never 0, and the quotient is at most 144.
•
Write mixed numbers as fractions first: 2 1/4 = 9/4.
Step-by-step
WE KNOW
Dividend numerator: 2
Dividend denominator: 3
Divisor numerator: 3
Divisor denominator: 4
FIND
quotient numerator, quotient denominator
Step 1 · Find quotient numerator
2
3
÷
3
4
=
?
?
Dividend numerator × divisor denominator = quotient numerator
Dividing
by
3
4
is
multiplying
by
its
reciprocal:
2
3
÷
3
4
=
2
3
×
4
3
.
Multiply
the
numerators.
Quotient numerator = 2 × 4
Quotient numerator = 8
Step 2 · Find quotient denominator
2
3
÷
3
4
=
8
?
Dividend denominator × divisor numerator = quotient denominator
Multiply the denominators: the dividend’s denominator times the divisor’s numerator.
3 × 3 = 9
Check:
8
9
×
3
4
=
24
36
=
2
3
Quotient
denominator
=
9
(the
quotient
is
8
9
)
Check
Put the numbers back in. Both sides should match.
2 × 4 = 8 ✓
3 × 3 = 9 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.