Step-by-Step Guide to Calculate the Ratio of 17/12 to 49/40

Sentence about the solution

Calculating the ratio of 17/12 to 49/40 is a relatively simple math problem. By breaking the problem down into its component parts, it is easy to find the answer. This guide will explain the process step by step and provide helpful resources for further study.

Step 1: Simplify the ratio

The ratio 17/12 can be simplified to 17/3. To do this, divide both terms by the shared factor, which in this case is 3. The new ratio will be 17/3 to 49/40.

Step 2: Find the reciprocal

The next step is to find the reciprocal of the second ratio. To do this, simply switch the placement of the terms. Instead of writing 49/40, it will become 40/49.

Step 3: Multiply

The last step is to multiply the two ratios together. Multiply 17/3 by 40/49. The answer will be 0.98039, or approximately 0.98.

Resources for further study


What is a ratio?

A ratio is a comparison of two quantities in a mathematical expression. Ratios are written as fractions.

What is a reciprocal?

A reciprocal is when two numbers are swapped over. In the example above, 49/40 becomes 40/49.

What is the difference between a ratio and a proportion?

A ratio is a comparison between two numbers. A proportion is a statement that two ratios are equal.

How do you calculate the ratio of two numbers?

You can calculate the ratio of two numbers by dividing each side of the ratio by a shared factor and then multiplying the two resulting fractions together.

What is the difference between a fraction and a ratio?

A fraction is a mathematical expression that represents a part of a whole. A ratio is a comparison between two values - it doesn't necessarily represent a part of a whole.

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