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weqwewe [10]
3 years ago
9

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

Mathematics
1 answer:
Artemon [7]3 years ago
3 0
(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr
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Answer:

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10-4=6

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Step-by-step explanation:

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The denominator of a fraction is 10 more than its numerator.
Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

\frac{x}{x+10}

When 1/3 is added to this fraction,

\frac{x}{x+10}+\frac{1}{3}

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

\frac{3(x+10)-15}{3(x+10)}

Therefore, it becomes

\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}

Taking LCM on left side

\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}

Multiplying both sides by 3(x+10)

3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

8 0
3 years ago
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