Worked example
Find ÷ 1/2. Give the quotient in simplest form.
Answer & why
Answer:
Multiply by the reciprocal of the divisor: × = = 3/2.
Grade 6 · Math
Divide by a nonzero fraction
Interpret fraction division and calculate using the reciprocal of the divisor.
6 authored questions + worked example
Add to plan
All questions
All 6 authored questions for this skill.
Question 1
Find ÷ 2/5. Give the quotient in simplest form.
- 2
- 1
- 3
- 4
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer: 2
Multiply by the reciprocal of the divisor: × = = 2.
Question 2
Find ÷ 1/3. Give the quotient in simplest form.
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer:
Multiply by the reciprocal of the divisor: × = = 5/2.
Question 3
Find ÷ 1/4. Give the quotient in simplest form.
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer:
Multiply by the reciprocal of the divisor: × = = 7/2.
Question 4
Find ÷ 2/3. Give the quotient in simplest form.
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer:
Multiply by the reciprocal of the divisor: × = = 9/10.
Question 5
Find ÷ 1/2. Give the quotient in simplest form.
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer:
Multiply by the reciprocal of the divisor: × = = 3/2.
Question 6
Find ÷ 1/6. Give the quotient in simplest form.
- 4
- 3
- 6
- 5
A hint
The divisor must be nonzero. Check the quotient by multiplying it by the original divisor.
Answer & why
Answer: 4
Multiply by the reciprocal of the divisor: × = = 4.