Dividing a Whole Number by a Fraction
(b) 3÷3/4 = ?
Think: How many 3/4 in 3?
Let us understand this with the help of an example.
Here are three pizzas.
How many 3/4 ths in three pizzas?
First cut each pizza into 1/4th pieces.
Then separate them into 3/4ths.
Answer: There are four 3/4 ths in 3 pizzas.
Here is how you can solve this without pictures.
3÷3/4 = ?
Step 1. Find the reciprocal of the divisor. Reciprocal of 3/4 is 4/3
Step 2. Multiply the dividend with the reciprocal: 3×4/3 = 4
Dividing a Fraction by a Whole Number
(c) Ajay has 3/4 l juice. If he pours it equally into 4 glasses, how much will each glass hold?
3/4÷4 = ?
3/4÷4 = 3/4÷4/1 = 3/4×i/4 = 3/16
Answer: Each glass will hold 3/16 l juice.
(d) 5/7÷1 = ?
5/7÷1/1 = 5/7×1/1 =5/7
5/7÷1 = 5/7
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