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Mathematics

1 answer:

topjm [15]2 years ago

3 0

To subtract fractions, we need an lcd( lowest common denominator)

8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction

to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)

to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)

these two numbers now have the same denominator so we subtract them

24/42 - 21/42 = 3/42 which simplifies to 1/14

9. since these fractions already have a common denominator, we will make them mixed fractions

-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7

-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7

now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7

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\\\\[-0.35em]
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3 years ago

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