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3 ⅕ -⅔ divided by 2 ⅘

Sagot :

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]

thus, answer is 160/196