The sum of the number and three times its reciprocal is 79/10. Find the number.
1 answer:
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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
: 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:
multiplied by
thus, answer is 160/196