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5 votes
What is the simple form of 9 minus 3 7/8

2 Answers

4 votes

Answer: 5 & 1/8

This is a mixed number.

Whole part = 5

Fractional part = 1/8

This mixed number converts to the improper fraction 41/8

===================================================

Work Shown

Method 1

9 - 3 & 7/8

9 - (3 & 7/8)

9 - (3 + 7/8)

9 - (3*8/8 + 7/8)

9 - (24/8 + 7/8)

9 - (24+7)/8

9 - 31/8

9*8/8 - 31/8

72/8 - 31/8

(72 - 31)/8

41/8

(40 + 1)/8

40/8 + 1/8

5 + 1/8

5 & 1/8

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Method 2

9 - 3 & 7/8

(8+1) - (3 & 7/8)

(8 + 8/8) - (3 & 7/8)

(8 & 8/8) - (3 & 7/8)

(8 - 3) & (8/8 - 7/8)

5 & 1/8

Method 2 is much shorter than method 1, but you might find the first method to be easier.

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A real world application.

You start off with 9 pizzas. A bunch of friends stop by and eat 3 whole pizzas, and also 7/8 of a fourth pizza (they don't eat the entire fourth pizza). If you wanted to know how much pizza is left over, then you'd follow method 1 or method 2 shown above to find that there's 5 & 1/8 pizzas remaining.

There's 5 whole pizzas remaining, plus an additional 1/8 of a pizza.

User Techmagister
by
8.6k points
2 votes
9 - 3 7/8
9 - 31/8
72/8 - 31/8
41/8
User Chandrasekhar
by
7.6k points

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