Question

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?​

Answer 1

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)

Answer 2

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.