45% of 75% of a number is 70, what is the number? Express your answer as a common fraction.
.45 * .75 * n = 70
n = 70/ (.45*.75)
n = 70 / .3375
I know the decimal, but I don't know how to find the repeating (407407407407...407...)
oh
70 / (45/100 *75/100)
70 * 100 *100 / (45 * 75)
14 * 20 * 100 / (9 * 15)
14 * 4 * 100 / (9 * 3)
5600 / 27
= 207 11/27
because 207 * 27 = 5589
and 5600 - 5589 = 11
Is there a way to make it a common fraction or does it HAVE to be a mixed number or improper? Because the question says it has to be a "common". :)
there is a trick to finding the fraction for a repeating decimal by the way. Google repeating decimal
in this case for example
.407407407 ----
1000 x = 407.407407407.....
x = .407407407....
so
999x = 407
x = 407/999 = 11/27
5600/27 is a common fraction
To solve this problem, we need to translate the given information into an equation.
Let's denote the unknown number as "x."
First, we know that 45% of 75% of a number is equal to 70. To express 45% as a decimal, we divide it by 100: 45% = 0.45. Similarly, we express 75% as 0.75.
So, our equation becomes:
0.45 * 0.75 * x = 70
To find the value of x, we can divide both sides of the equation by (0.45 * 0.75):
x = 70 / (0.45 * 0.75)
Calculating this expression will give us the value of x.