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pshichka [43]
1 year ago
5

(7)/(3) of it is 5 (5)/(6)

Mathematics
1 answer:
slava [35]1 year ago
7 0

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
4/7 - x = 6/35 what is x? how do I determine the answer?
vivado [14]
4/7 - x = 6/35

You're trying to get x by itself, so you have to subtract 4/7 from both sides.

-x = 6/35 - 4/7

You need both of the fractions to the right of the equal sign to have the same denominator so that we could simplify them, so multiply 5/5 to -4/7.

-4 /7 × 5/5 = -20/35

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~Hope I helped!~
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