35-(10 3/5 + 12 1/2)

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nick-teal's profile pic

nick-teal | High School Teacher | (Level 3) Adjunct Educator

Posted on

`35-(10 3/5 + 12 1/2)`

Find common denominator (hint, its 10)

`35-(10 6/10 + 12 5/10)`

`35-(22 11/10)`

Get rid of the improper fraction by adding 1 to 22, and subtracting 10/10 from 11/10

`35 - (23 1/10)`

`12 - 1/10`

`11 9/10`

Hope this helps!

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

it depends on whether you want the answer in decimals or fractions, your answer is 11.9 or 11 9/10.

First you have to get a common denominator within the brackets, which would be 5x2 =10 and solve the fractions to get 53/5 (or 10 3/5) and 25/2 (or 12 1/2)

35- (10 3/5 + 12 1/2) = 35- (53/5 + 25/2) = 35-((106+125)/10)= 119/10 or 11.9 or 11 9/10.

good luck.

violy's profile pic

violy | High School Teacher | (Level 1) Associate Educator

Posted on

Before we can combine the fractions, we need to make the denominators equal.
To do that, we need to identify the LCD (least common denominator).
Identifying the LCD is the same as identifying the LCM (least common multiple) of the denominators. The denominators are` 5 ` and `2` .

List the multiples of` 5 ` and `2` .
`5, 10, 15, 20, 25, 30, ..`
`2, 4, 6, 8, 10, 12, 14, 16, 18, ... `
Therefore, the LCD `= 10` .

Make the denominators equal to` 10` . For the `3/5` , since `5 * 2 = 10` we multiply the top and bottom of `3/5` by `2` .
(3*2)/(5*2) = (6)/(10)

For the` 1/2` , we know that `2 * 5 = 10` , so we multiply the top and bottom of it by `5` .
`(1*5)/(2*5) = (5)/(10)`

So, we will have:
`35-(10 6/10 + 12 5/10) = 35 - (22 11/10)`

We can subtract the `35` and `22` .
`35 - (22 11/10) = 13 11/10 `

We have an improper fractions here `11/10` . Improper fractions are fractions where
the top is greater than the bottom. To make it as a proper fraction, we use division.

We know that `11` divided by `10` is `1` remainder `1` . Therefore, `11/10 = 1 1/10` .
Therefore, `13 11/10` is equal to `13 + 1 1/10 = 14 1/10` .

The answer is `13 11/10` or `14 1/10.`

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aishukul's profile pic

aishukul | Student, Grade 10 | (Level 3) Honors

Posted on

35-(10 3/5 + 12 1/2)

 To solve this, you first add the numbers in parentheses by the rule of PEMDAS. You can convert the 3/5 and the 1/2 into decimals to make it easier to add:
 
35-(10.6+12.5)=
 
35-23.1=
 
11.9 is the answer. 
mathisthebest's profile pic

mathisthebest | eNotes Newbie

Posted on

Well, violy's steps are correct. However, his(I assume it's a he) final answer is wrong. This is so as he has his error comes in the final step as shown below.

This is wrong as 13 11/10 is in fact 13 + 11/10. However, in actual fact the answer should be 11 9/10 as it is 13 - 11/10 and not 13 + 11/10.

Cheers

ieasley's profile pic

ieasley | Student, College Senior | (Level 2) eNoter

Posted on

PEMDAS

Parenthesis 

Exponents 

Multiplication/ Division

Addition/Subtraction 

Solve the equation step by step in this order and then you can solve the equation. You can remember PEMDAS as: Please Excuse My Dear Aunt Sally 

Best of Luck! 

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