If Leonardo shares 20 3/5 among his friends and each one receives 103/30. How many friends does Leonardo have?
Question
Answer:
To find the number of friends Leonardo has, we can divide the total amount he shares by the amount each friend receives.
Given:
Total amount shared = 20 3/5 = 20 + 3/5 = 103/5
Amount received by each friend = 103/30
Now, divide the total amount shared by the amount each friend receives:
Number of friends = Total amount shared / Amount received by each friend
$$Number of friends = \frac{\frac{103}{5}}{\frac{103}{30}}$$
Remember that dividing by a fraction is the same as multiplying by its reciprocal:
$$Number of friends = \frac{103}{5} \times \frac{30}{103}$$
Simplify:
$$Number\; of\; friends = \frac{(103 \times30)} { (5 \times103)}$$
$$Number\; of \;friends = \frac{30}{5}$$
$$Number\; of \;friends = 6$$
So, Leonardo has 6 friends.
solved
general
11 months ago
2006