How I will divide 10 5/6 by 3 1/4
Answers
Answer:
I. Division of a fraction by a whole number:
For example:
(i) Divide 3/5 by 12
Solution:
3/5 ÷ 12
= 3/5 ÷ 12/1
= 3/5 × 1/12
= (3 × 1)/(5 × 12)
= 3/60
= 1/20
Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.
Step II: Express the product in its lowest terms.
(ii) Solve: 5/7 ÷ 10
= 5/7 ÷ 10/1
= 5/7 × 1/10
= (5 × 1)/(7 × 10)
= 5/70
Step I: Find the reciprocal of the whole number and multiply with the fractional number as usual.
Step II: Express the product in its lowest terms.
II. Division of a fractional number by a fractional number:
For example:
(i) Divide 7/8 by 1/5
Solution:
7/8 ÷ 1/5
= 7/8 × 5/1
= (7 × 5)/(8 × 1)
= 35/8
= 4 3/8
Step I: Find reciprocal of 1/5.
Step II: Multiply 7/8 by it.
Step III: Express the product in its simplest form.
(ii) Divide: 5/9 ÷ 10/18
Solution:
5/9 ÷ 10/18
= 5/9 × 18/10
= (5 × 18)/(9 × 10)
= 90/90
= 1
Step I: Find reciprocal of 1/5.
Step II: Multiply 7/8 by it.
Step III: Express the product in its simplest form.
III. Division of a mixed number by another mixed number:
For example:
(i) Divide 2 ¾ by 1 2/3
Solution:
2 ¾ ÷ 1 2/3
= 11/4 ÷ 5/3
= 11/4 × 3/5
= (11 × 3)/(4 × 5)
= 33/20
= 1 13/20
Express the mixed numbers as improper fractions and multiply as usual.
(ii) Divide: 2 4/17 ÷ 1 4/17
Solution:
2 4/17 ÷ 1 4/17
= 38/17 ÷ 21/17
= 38/17 × 17/21
= (38 × 17)/(17 × 21)
= 646/357
= 38/21
= 1 17/21
Step-by-step explanation:
Answer:
3.33
Step-by-step explanation:
10 5/6 = 65/6
3 1/4 = 13/4
10 5/6 ÷ 3 1/4 = 65/6 ÷ 13/4
= 65/6 × 4/13
= 20/6
= 3.33
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