# Moussa delivered 3/8 of the newspaper on his route in the 1st hour and 4/5 of the rest in the second hour. What fraction of the newspapers did Moussa deliver in the second hour?

Answer: To get the fraction of news papers delivered in the second hour we proceed as follows:
fraction delivered in the first hour=3/8
Remaining fraction is (1-3/8)=5/8
Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:
4/5 of 5/8
=4/5×5/8
=1/2
He delivered 1/2 of the papers in the second hour.

¹/₂

Further explanation

Given:

Moussa delivered:

• of the newspaper on his route in the first hour, and
• of the rest in the second hour.

Question:

What fraction of the newspapers did Moussa deliver in the second hour?

The Process:

Step-1

Let us design a diagram that matches the initial conditions.

1 unit represents 1 part of all newspapers delivered by Moussa.

Moussa delivered of the newspaper on his route in the first hour, that is or 3 of 8 units.

The rest of the newspaper after the first hour of delivery is or 5 of 8 units.

So, there are of the newspapers left.

Step-2

Next, Moussa delivered of the rest in the second hour.

We saw that the remainder of the newspaper was 5 units, i.e., .

So, in the second hour, Moussa delivered 4 units of the remaining 5 units, i.e., .

Recall the total number of newspaper units delivered by Moussa is 8 units, while in the second hour 4 units are delivered.

So, we can write the fraction of the newspapers did Moussa deliver in the second hour.

Simplify it. The numerator and denominator are equally divided by 4.

Thus, Moussa delivered of the newspapers in the second hour.

- - - - - - - - - -

Quick Steps

Simplify it. The numerator and denominator are equally divided by 20.

Another way,

We crossed out 5 with 5 and also 4 with 8.

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Keywords: Moussa, delivered, 3/8 of the newspaper, on his route, in the first hour, 4/5 of the rest, in the second, what fraction, units, diagram, the numerator and denominator

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