Answer:
a) 95
b) 25 : 1
Step-by-step explanation:
a-
Lets look for ovious factors lower than 760. A glaring one is 400 so lets start there.
400 / 8 = 50
760 - 400 = 360
360 is a much more obvious to have a factor of 8 nearby as its 10 * 36, and is just 9 * 4. From this we get 320.
320/8 = (32/8) * 10 = 40
So far the total is 90.
360 - 320 = 40
40 as we know is just 8 * 5 so we know to add another 5 to the total we have so far.
90 + 5 = 95
b-
You can look for common factors of both the numbers, one that is quickly found is 2, 3 and 9. We know this as 45 is a factor of 450 and the factor of 45 are 9, 3, 5 and factors of 18 are 9, 2, 3, 6.
When dealing with ratio's as with fractions I find that using the larger number leads to the simplified answer quicker, which is often also the desired answer unless otherwise stated.
As we know that both have factors of 9 we can divide both by nine. You could also divide 450 by 10 first but you'll then have to multiply is by five as we're going too in the end divide it by two to simplify it so that both sides are equal.
18/9 = 2, and 450/9 = (45/9) * 10 = 50
2 : 50 == 1 : 25 == 25 : 1
Also, next time please show what you want answered as it looks like you're giving one question while asking for two answers at first.
