Question

How do i divide fifteen-sixteenths by three-eighths.

Answer 1

when dividing by a fraction, it is the same as multiplying by its reciprocal

ex.
\[\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}\]

Answer 2

I know that but I tried it and still didn't get the answer

Answer 3

well, what did you get?
i can check your answer

Answer 4

i got 2 and 3 halfs

Answer 5

2 3/2

Answer 6

that is incorrect

Answer 7

but five minus two is three

Answer 8

\[\frac{15}{16} \div \frac{3}{8}= \frac{15}{16}\times \frac{8}{3}\]

Answer 9

but 2 = 4 halves not 2 halves

Answer 10

so its 2 1/2 ?

Answer 11

\[\frac{15}{16}\times \frac{8}{3}= \frac{5}{8}\frac{3}{2} *\frac{8}{3} = \frac{5}{2}\]

Answer 12

And two goes into five two times

Answer 13

\[\frac{5}{2} = 2 \frac{1}{2}\]

\[2 = \frac{4}{2}\]

\[\frac{5}{2} = \frac{4}{2} + \frac{1}{2} = 2 \frac{1}{2}\]

Answer 14

so the only mistake you made was converting an improper fraction into a mixed number

Answer 15

oh!! okay thanks so much

Answer 16

no problem

Answer 17

when adding mixed numbers , do i just add straight across?

Answer 18

ok, a mixed number consists of the whole number and the fraction

it would be easier to add the whole numbers together and the fractions together seperately

Answer 19

three and three over eight plus two and three over four . That would equal 5 and one half right ?

Answer 20

then combine them at the end

it would help if you had an example

Answer 21

\[3 \frac{3}{8} + 2 \frac{3}{4}\]

where did you get the 1/2 from?

the 5 makes sense but the 1/2 does not

remember that you can only add the numerator together if the denominators are teh same

Answer 22

okay so my denominator would be 32

Answer 23

er, think again

Answer 24

but i have to simplify

Answer 25

you could use 32, but its not the lowest common denominator

Answer 26

Could i just use 8 ?

Answer 27

yes

Answer 28

ok so if we're just looking at the fraction
\[\frac{3}{4}+ \frac{3}{8}\]

you would need to convert 3/4 into a fraction with 8 in the denominator

Answer 29

5 and 3 fourths ?

Answer 30

slow down...
we're not even done adding the fractions together

and that answer is incorrect
you already have 3/4 and you're adding something to it, therefore fraction part can be 3/4

Answer 31

cannot

Answer 32

what is the equivalent fraction for 3/4 that has 8 as a denominator?

Answer 33

1 half ?

Answer 34

no

Answer 35

Im not sure

Answer 36

so in order to change the denominator but keep the fraction the same, you would need to multiply the fraction by 1

because anything multiplied by 1 is the same number

now, 1 can take the form of 2/2, 3/3, 4/4, 100/100

now, looking at the denominator, we need to convert 4 to 8,
that means we will need to multiply the denominator by 2, and thus also multiply the numerator by 2

\[\frac{3}{4} \times 1= \frac{3}{4}\]
\[1 = \frac{2}{2}\]
\[\frac{3}{4} \times \frac{2}{2} = \frac{3}{4}\]
\[\frac{6}{8} = \frac{ 3}{4}\]

Answer 37

It would be five and one half

Answer 38

still wrong

Answer 39

in simplest form though

Answer 40

now you know that 3/4 is the same as 6/8

now adding the fraction part is

\[\frac{6}{8} + \frac{3}{8}\]

Answer 41

9 eights

Answer 42

1 and 1 8

Answer 43

good
now add that to 5

Answer 44

6.125 ?

Answer 45

er, yes...
are we not keeping it as a mixed number?

Answer 46

yes we are

Answer 47

so the mixed number form is ?

Answer 48

6 and 1 8

Answer 49

good

now do you understand the process?

Answer 50

yes

Answer 51

thanks