answersLogoWhite

0

Adding and subtracting mixed numbers is similar to adding and subtracting fractions.

Adding and subtracting mixed numbers with like denominators:

1) 5 3/7 + 6 2/7= 11 5/7

a) add the fractions: 3/7 + 2/7 = 5/7

b) add the whole numbers: 5 + 6 = 11

2) 12 3/8 - 2 1/8

a) subtract the fractions and simplify if it is possible: 3/8 - 1/8 = 2/8 = 1/4

b) subtract the whole numbers: 12 - 2 = 10

Adding and subtracting mixed numbers with unlike denominators:

1) 2 3/2 + 5 4/3 = 9 5/6

a) write the fractions as equivalent fractions with a common denominator:

3/2 = (3 x 3)/(2 x 3) = 9/6 and 4/3 = (4 x 2)/(3 x 2) = 8/6

b) add the fractions: 9/6 + 8/6 = 17/6

c) add the whole numbers: 2 + 5 = 7

d) simplify: 7 17/6 = 9 5/6 (since 2 x 6 = 12, and 17 - 12 = 5, then 7 + 2 = 9)

2) 7 1/5 - 5 2/3 = 1 8/15

a) Since 1/5 < 2/3, we borrow 1 (which represents 5/5) form the whole number 7, so we have 6 as a whole number and the fraction 1/5 become:1/5 + 5/5 = 6/5. Now we can subtract as:

6 6/5 - 5 2/3 = 1 8/15

b) write the fractions as equivalent fractions with a common denominator:

6/5 = (6 x 3)/(5 x 3) = 18/15 and 2/3 = (2 x 5)/(3 x 5) = 10/15

b) subtract the fractions: 18/15 - 10/15 = 8/15

c) subtract the whole numbers: 6 - 5 = 1

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: Adding and subtracting mixed numbers
Write your answer...
Submit
Still have questions?
magnify glass
imp