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UNO [17]
4 years ago
15

How can complex fractions be used to solve problems involving ratios

Mathematics
1 answer:
strojnjashka [21]4 years ago
5 0
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.

Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}

\frac{2*9}{5*9}=\frac{x}{45}

\frac{18}{45}=\frac{x}{45}
18=x

In case of more complex fractions it may come in handy.
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r sin theta = 4  Substituting for sin theta:-

r * (y/r) = 4

y = 4 is the answer


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Step-by-step explanation:

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The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn
vladimir2022 [97]

Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and  Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

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By definition of proportion:

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Substitute the given values we have;

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By cross multiply we have;

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\text{Drawing width} =13.5 cm

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