Question

-
(3/4)+1 7/8 divided by 1/2 =n

Answer 1

n =
`5(1)/(4)`

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First, evaluate 3/4 + 1 7/8 without including whole numbers for now.
`3/4 + 7/8 =~?`

When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.

`GCF(3,4) = 2\\GCF(7, 8) = 1\\\\(3 * 2)/(4 * 2) = (6)/(8)\\\\(7 * 1)/(8 * 1) = (7)/(8)`

Next, add these two numbers together.

`(6)/(8) + (7)/(8) = (13)/(8)`

Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.

`(13)/(8) = 1(5)/(8)`

Now, add the whole numbers.

`1 + 1 + (5)/(8) = 2(5)/(8)`

Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.

`(21)/(8) / (1)/(2)`

Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1

`(21*2)/(8*1) = (42)/(8)`

Finally, simplify 42/8

if 8 × 5 is 40 you can tell the number will be close to 40

`(42)/(8) = 5(1)/(4)`

That said, the answer is
`(42)/(8)` and also
`5(1)/(4)`

Answer 2

n=1.3125/ if the (3/4) was negative the anwser would be -1.3125

Explanation: