Question

What is 3 3/4*(-1 1/2) ?

A.3 3/8


B.-5 1/4


C.-3 1/2


D.-5 5/8

Answer 1

Well you can either distribute or you can turn them into improper fractions and then multiply. Your choice.

Answer 2

@Susanna

Answer 3

Hello? Distribute or improper fractions? Which method would you like to use?

Answer 4

imp

Answer 5

per

Answer 6

improper

Answer 7

Ok, then do you know how to convert a mixed fraction into an improper one?

Answer 8

\no

Answer 9

Well what you want to do is turn the whole number next to the fraction, so that it's denominator is the same as the fraction next to it. In \(\large \sf 3\frac{3}{4}\) the denominator of the fraction is 4, so we want the whole number "3" to have that same denominator of "4". But we have to keep the ratio the same, so what we will do is multiply the numerator by 4 as well. Sooo \[\large \sf \frac{3}{1} \times \frac{4}{4}\]

Answer 10

So, 3 3/4*(-1 1/2) becomes \[\frac{ 15 }{ 4 }*\frac{ -3 }{ 2 }\]

Answer 11

Simplify this, please.

Answer 12

If none of the answer choices match your result, perhaps you need to go back and ensure that y ou've copied down the original problem statement correctly.

Answer 13

here

Answer 14

so 3/1 * 4*4

Answer 15

=3

Answer 16

Yes, that would be the first step to changing it into an improper fraction. When you get the answer, don't simplify it. Keep it in a fraction form.

Answer 17

i used alculater it simplified for me sorry

Answer 18

Well we would have \[\large \sf \frac{3 \times 4}{1 \times 4}=?\]

Answer 19

12/4

Answer 20

Correct, and now we want to add \[\large \sf \frac{12}{4} + \frac{3}{4}\]

Answer 21

15/8

Answer 22

Close, but when we add fractions, the denominator stays the same. So it would actually just be 15/4 not 15/8.

Answer 23

So now we got the first fraction converted, so let's move onto the second. We want to have \(\large \sf -\frac{1}{1}\) change so the denominator is 2 instead of 1 so we will multiply it by 2/2 and then add on the 1/2 like we did in the last example. So it would be like this \[\large \sf -\frac{1 \times 2}{1 \times 2} - \frac{1}{2}\]

Answer 24

Please note that we changed the 3 in 3 3/4 to 12/4 so as to be able to add the fraction 3/4. Now both 12/4 and 3/4 have the SAME denominator, which means that you can add them together. As before, add ONLY the numerators; the denominators remain the same and have the value 4.

Answer 25

So, 3 3/4 becomes 15/4.

We need to multiply this by -1 1/2 (minus one and one half). convert this -1 1/2 to a negative improper fraction, please.

Then the result you want is (15/4) * (-negative improper fraction from above).