In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.
Do 15 and 40 have any common factors ?
Let's see . . .
The factors of 15 are 1, 3, <em>5</em>, and 15 .
The factors of 40 are 1, 2, 4,<em> 5</em>, 8, 10, 20, and 40 .
Ah hah ! Do you see that ' <em>5</em> ' on both lists ? That's a common factor.
So 15/40 is NOT in lowest terms.
Divide the numerator and denominator both by 5 :
15 / 40 =<em> 3 / 8</em>
3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked sides are proportional, so we have ...
x/8 = (x +5)/12
3x = 2(x +5) . . . . . multiply by 24 to clear fractions
3x = 2x + 10 . . . . . eliminate parentheses
x = 10 . . . . . . . . . . subtract 2x
_____
<em>Alternate solution</em>
We observe that the difference between the upper segment lengths is ...
(x +5) -(x) = 5
and the difference between the lower segment lengths is ...
12 -8 = 4
This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...
x = (5/4)(8) = 10
Answer:
£140 increased by 5% is £147.00
Answer:
its c
Step-by-step explanation:
