Question

7/19 = ?/114

Convert to higher terms.. I just dont get it

Answer 1

you have to see what 19 should be multiplied with to get 114

then you multiply 7 by the same number to get the numerator for the RHS

Answer 2

What must you multiply the 19 in the denominator of the first fraction to get 114?

Answer 3

suppose the number is H, then

7 * H ?
------ = ------
19 * H 114

Answer 4

For converting equivalent fractions, you basically just multiply the fraction by some 'version' of 1:

\[\frac{7}{19}\cdot \frac{2}{2} = \frac{14}{38}\]
etc.

Answer 5

So we are looking for the version of 1:
\[\frac{7}{19} \cdot \frac{h}{h} = \frac{?}{114}\]

If it makes the denominator 114 then what must h be? Then multiply that h by 7 to find the numerator.

Answer 6

So like 19 times 6 = 114

Answer 7

correct..

Answer 8

so now calculate the numerator

Answer 9

Right. So that means that h must be 6.
Therefore we have:
\[\frac{7}{19}\cdot \frac{6}{6} = \frac{??}{114}\]

What is the ??

Answer 10

got it????

Answer 11

I got 42

Answer 12

That's correct.

Answer 13

absolutely correct !!
Well Done !!!

I suggest you do a few more such sums to become familiar with the concept and method....☺