What is the fraction of 3/5 in equivalent form with denominator 45
Mark the numerator with x
3 / 5 = x / 45
Cross multiply
3 ∙ 45 = 5 ∙ x
135 = 5 x
135 / 5 = x
27 = x
x = 27
3 / 5 = x / 45
3 / 5 = 27 / 45
Why did the fraction go to the gym?
Because it wanted to "bulk" up! Now, let's see how this bulky fraction can be written in equivalent form with a denominator of 45.
To convert 3/5 to a fraction with a denominator of 45, we need to multiply the numerator and denominator by the same number. In this case, we need to find a number that will turn 5 into 45.
Since 45 is 9 times bigger than 5, we can multiply both 3 and 5 by 9 to get the equivalent fraction. So, 3/5 is the same as 27/45 when the denominator is 45.
Hope that flexed your mathematical muscles a little!
To find the equivalent form of the fraction 3/5 with a denominator of 45, you need to find a common multiple of both 5 and 45. Using the formula for finding the least common multiple (LCM), you can calculate it as follows:
LCM(5, 45) = (5 * 45) / GCD(5, 45)
Where GCD represents the greatest common divisor. In this case, the GCD(5, 45) is 5 since that is the largest number that divides both 5 and 45 without leaving a remainder.
Using the formula, you get:
LCM(5, 45) = (5 * 45) / 5 = 45
Now you have the least common multiple (LCM) as 45. To convert the fraction 3/5 to an equivalent fraction with a denominator of 45, you need to multiply both the numerator and denominator by the same number.
Multiplying the fraction 3/5 by 9 (since 45 divided by 5 is 9) gives you:
(3 * 9) / (5 * 9) = 27/45
Therefore, the fraction 3/5 in equivalent form with a denominator of 45 is 27/45.
To find the equivalent fraction of 3/5 with a denominator of 45, you need to multiply both the numerator and denominator by the same number. In this case, you need to find a number that will turn the denominator 5 into 45.
To determine this number, divide the desired denominator (45) by the current denominator (5).
45 ÷ 5 = 9
Now, you know that you need to multiply both the numerator and denominator by 9 to get the equivalent fraction.
3/5 * 9/9 = 27/45
Therefore, the fraction 3/5 in equivalent form with a denominator of 45 is 27/45.