For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.

Question

3 years ago

5

For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.

write each expression and the difference in the correct box.
14a 5 2/5 - 2 1/4
14b 5-2 7/8
14c 7 2/3 - 6 1/8
14d 9 1/6 - 5 2/3

Mathematics

2 answers:

ExtremeBDS [4] · Answer 1 · 2022-03-25T23:37:38+03:00

Answer:

14b and 14d require renaming mixed numbers; 14a) 3 3/20; 14b) 2 1/8; 14c) 1 13/24; 14d) 3 3/6 = 3 1/2

Step-by-step explanation:

14a) First we find the least common denominator (LCD). The first thing that both 5 and 4 will divide into is 20; this is our LCD.

It takes 4 5's to make 20; multiplying the numerator by 4, we have 5 8/20. It takes 5 4's to make 20; multiplying the numerator by 5, we have 2 5/20. Subtracting these,

5 8/20 - 2 5/20 = 3 3/20

14b) We must write the whole number 5 as a mixed number with a denominator of 8; 5 = 4 8/8. This gives us

4 8/8 - 2 7/8 = 2 1/8

14c) The LCD of 3 and 8 is 24. It takes 8 3's to make 24; multiplying the numerator by 8, we have 7 16/24. It takes 3 8's to make 24; multiplying the numerator by 3, we have 6 3/24. Subtracting we have

7 16/24 - 6 3/24 = 1 13/24.

14d) The LCD of 6 and 3 is 6. Since the first mixed number has a denominator of 6, we leave it: 9 1/6. It takes 2 3's to make 6; multiplying the numerator by 2, we have 5 4/6. Subtracting we would have

9 1/6 - 5 4/6

We are subtracting a larger fraction from a smaller one. This means we borrow a whole from the whole number, making it 8; this makes the fraction (6+1)/6 = 7/6. This gives us

8 7/6 - 5 4/6 = 3 3/6 = 3 1/2

natta225 [31] · Answer 2 · 2022-03-26T01:35:15+03:00

OK, so turn 5 and 2/5ths into a fraction greater than one which would be 27/5ths. Then take the 27/5ths and find the least common denominator, which should be 20. Multiply 27/5ths by 4 and you should have 108/20 and turn the 2 and 1/4 into a 20, so then turn that into a number greater than one which you should get 9/4ths, do the same thing as you did before only this time multiple by 5. You should now get, 45/20ths, now subtract 108/20ths and 45/20ths. Now, after that, you should have your answer which is 63/20 or 3 and 3/20ths.