Math

QuestionSimplify the ratio 18:45:2418: 45: 24.

Studdy Solution

STEP 1

Assumptions1. The given ratio is 184524184524 . We need to simplify this ratio to its lowest terms

STEP 2

To simplify a ratio, we need to find the greatest common divisor (GCD) of the numbers involved. The GCD is the largest number that divides all the numbers without leaving a remainder.

STEP 3

The numbers in our ratio are 1818, 4545, and 2424. We need to find the GCD of these three numbers.

STEP 4

We can find the GCD by factoring each number into its prime factors and then taking the product of the common factors.

STEP 5

First, let's find the prime factors of 1818. The prime factors of 1818 are 22 and 33.

STEP 6

Next, let's find the prime factors of 4545. The prime factors of 4545 are 33 and 55.

STEP 7

Finally, let's find the prime factors of 2424. The prime factors of 2424 are 22, 22, 22, and 33.

STEP 8

The common factors of 1818, 4545, and 2424 are 33.

STEP 9

So, the GCD of 1818, 4545, and 2424 is 33.

STEP 10

Now, we can simplify the ratio by dividing each term by the GCD.

STEP 11

So, the simplified ratio is183453243\frac{18}{3} \frac{45}{3} \frac{24}{3}

STEP 12

Calculate the simplified ratio.
61586158So, the simplified ratio of 184524184524 is 61586158.

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