How to Simplify the Ratio A:B?

In this scenario, we are given the values for A, and B. We have to compute C and D.

Find the greater common divisor between the two numbers A, and B. Let us say that is gcd(A, B)

Then, divide both A and B by the greatest common divisor.

A:B = \(\frac{A}{gcd(A, B)}:\frac{B}{gcd(A, B)}\) = C:D

How to Solve A:B = C:?

In this scenario, we are given the values for A, B, and C. We have to compute D.

We can compute the missing value, D, using the following formula,

\( \frac{A}{B} = \frac{C}{D} \)

Substitute given values for A, B, and C, and solve for D.

How to Solve A:B = ?:D

In this scenario, we are given the values for A, B, and D. We have to compute C.

Compute the missing value, C, using the following formula,

\( \frac{A}{B} = \frac{C}{D} \)

Substitute given values for A, B, and D, and solve for C.

How to Check if A:B = C:D

In this scenario, we are given the values for A, B, C, and D. We have to check if the ratio A to B is equal to the ratio C to D.

Compute the ratio \( \frac{A}{B} \).

Compute the ratio \( \frac{C}{D} \).

Check if the above two ratios yield same value. If yes, then the ratios A:B and C:D are equal, otherwise not.