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olga nikolaevna [1]
3 years ago
6

What is 18/42 in the simplest form?

Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0
18 | <em><u>2</u></em> 
9 | <em><u>3</u></em>
3 | 3
1

42 | <u><em>2</em></u>
21 | <em><u>3</u></em>
7 | 7
1 

2,3
GCF (18,42) = 2*3 = 6
\dfrac{18}{42} =  \dfrac{18:6}{42:6} =  \dfrac{3}{7}
notsponge [240]3 years ago
5 0
\frac{18}{42}=\frac{18:2}{42:2}=\frac{9}{21}=\frac{9:3}{21:3}=\boxed{\frac{3}{7}}
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Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

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Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

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           = 9/4

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Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

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The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

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Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

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