Find an equivalent ratio in simplest terms: 16:28 :

Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio. The numbers in the ratio are 16 and 28. To simplify the ratio, we need to find the GCD of these two numbers. The factors of 16 are 1, 2, 4, 8, 16 and the factors of 28 are 1, 2, 4, 7, 14, 28. The greatest common factor they share is 4.Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form. Divide 16 by 4 to get 4. Divide 28 by 4 to get 7. So, the simplest form of the ratio 16:28 is 4:7.Check Calculation: Check the calculation to ensure no math error has been made. 16 divided by 4 is indeed 4, and 28 divided by 4 is indeed 7. There are no smaller common divisors than 4 for both 16 and 28, so the ratio cannot be simplified further. This confirms that the ratio 4:7 is in its simplest form.

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Find an equivalent ratio in simplest terms:

16:28
:

Find an equivalent ratio in simplest terms: $\newline$ $16: 28$ $\newline$ $\square$ : $\square$

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Math Problems

Grade 6

Write an equivalent ratio

Full solution

Q. Find an equivalent ratio in simplest terms:

\newline

16: 28

\newline

\square

\square

Identify GCD: Identify the greatest common divisor (GCD) of the two numbers in the ratio. The numbers in the ratio are $16$ and $28$ . To simplify the ratio, we need to find the GCD of these two numbers. The factors of $16$ are $1$ , $2$ , $4$ , $8$ , $16$ and the factors of $28$ are $1$ , $2$ , $4$ , $28$ $2$ , $28$ $3$ , $28$ . The greatest common factor they share is $4$ .
Divide by GCD: Divide both terms of the ratio by the GCD to find the simplest form. Divide $16$ by $4$ to get $4$ . Divide $28$ by $4$ to get $7$ . So, the simplest form of the ratio $16:28$ is $4:7$ .
Check Calculation: Check the calculation to ensure no math error has been made. $16$ divided by $4$ is indeed $4$ , and $28$ divided by $4$ is indeed $7$ . There are no smaller common divisors than $4$ for both $16$ and $28$ , so the ratio cannot be simplified further. This confirms that the ratio $4:7$ is in its simplest form.