Question

WILL MEDAL+FAN!!!! Please help with fractions

Answer 1

Im thinking its C but Im not 100% sure sorry

Answer 2

can you explain how you got your answer? i want to learn :)

Answer 3

@sammixboo

Answer 4

start by converting the mixed fraction into improper fraction :

\[5\dfrac{1}{4}=\dfrac{5*4+1}{4}=\dfrac{21}{4}\]

Answer 5

therefore the given expression is

\[\dfrac{21}{4}\cdot\dfrac{8}{9}\cdot \dfrac{8}{21}\]

Answer 6

cancel the common factors top and bottom
simplify

Answer 7

how to i simplify frcations?

Answer 8

To multiply two fractions, simply multiply numerators separately
and multiply denominators separately :
\[\dfrac{a}{b}\cdot \dfrac{c}{d}=\dfrac{a\cdot c}{b\cdot d}\]

Answer 9

\[\dfrac{21}{4}\cdot\dfrac{8}{9}\cdot \dfrac{8}{21}=\dfrac{21\cdot 8\cdot 8}{4\cdot 9\cdot 21}\]

Answer 10

do you see anything cancels out ?

Answer 11

i am not sure what you mean by "cancels out" but dont we need to have common denominators

Answer 12

very good question
common denominators is needed for "adding/subtracting" fractions

multiplying two fractions is simple, you just multiply numerators separately and denominators separately. it is easier compared to adding/subtracting

Answer 13

\[\dfrac{21\cdot 8\cdot 8}{4\cdot 9\cdot 21}\]

\(21\) is there in both top and bottom, so cancel it and get
\[\require{cancel}\dfrac{\cancel{21}\cdot 8\cdot 8}{4\cdot 9\cdot \cancel{21}}\]

\[\dfrac{ 8\cdot 8}{4\cdot 9}\]