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8 votes
8 votes
Whats the answer to these? (These are called Proper fractions.)

Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?

Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?

Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?​

User Menglong Li
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2 Answers

9 votes
9 votes

Answer and Step-by-step explanation:

1. Convert
(2)/(5) to have a denominator of 10.


(2)/(5) ×
(2)/(2) =
(4)/(10)


(3)/(10) + (4)/(10) = (7)/(10)

Jeremiah ran
(7)/(10) of a mile in total.

2. Convert the denominators of all the fractions to have a 10.


(1)/(2) ×
(5)/(5) =(5)/(10)


(4)/(5) ×
(2)/(2) = (8)/(10)

Daniel read
(3)/(10) more books than Edgar, since 8 books is more than 5 books by 3 books.

3. Convert
(1)/(4) to have a denominator of 8.


(1)/(4) ×
(2)/(2) = (2)/(8)


(2)/(8) +(2)/(8)= (4)/(8), or(1)/(2)

Jared drove
(4)/(8), or
(1)/(2) miles in total.

#teamtrees #PAW (Plant And Water)

User Fetty
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2.8k points
12 votes
12 votes

Answer to the first question: 7/10ths of a mile

Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom:
(2*2)/(5*2) = (4)/(10). From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.

Answer to the second question: Daniel read three (3/10) more books

Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean:
(4*2)/(5*2) = (8)/(10). For Edgar, that would mean:
(1*5)/(2*5) = (5)/(10). So, Daniel read 3 more books than Edgar.

Answer to the third question: 2/4 mile (or 1/2 a mile)

Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.

User Ladislav Zitka
by
2.9k points
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