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Learn valuable strategies and find your new favorite instructor; click for a list of upcoming dates and teachers. And multiplying the numerator and denominator of fraction 2 by the denominator of fraction 1 :.
Once the denominators are the same, we can compare the digits of the numerators from left to right. The numerator that has the first place value with a bigger digit will belong to the number that is farther away from 0. If both fractions are positive and have a common denominator , the fraction with the larger numerator is greater than the other fraction. If both fractions are negative and have a common denominator , the fraction with the larger numerator is less than the other fraction.
If both fractions are positive and have a common numerator , the fraction with the smaller denominator is greater than the other fraction. If both fractions are negative and have a common numerator , the fraction with the smaller denominator is less than the other fraction. Then we compare the numerators from left to right. About Us. For Teachers. Math Lessons. Was this lesson helpful? Why wasn't it helpful? Too long Confusing Didn't help me understand Boring Too difficult.
Which sections were not helpful? Anything else? Continue Feedback. We can apply the same concept to comparing numbers. The wide end of the sign should always open to the greater number.
How do we find the greater number? The number that has the first place value with a bigger digit is farther from 0 on the number line. Move Left Move Right. Why is a bigger negative number less than a smaller negative number? Check out our. Calculator Explore. Dec Frac. Next Example. How to Compare Numbers Compare a negative and a positive decimal and a decimal fraction and a fraction decimal and a fraction. No steps here! Step 1. Line up the decimal points. Step 3. Imagine the two decimals on a number line.
The number farthest to the right is the greater number. Check the denominators. If they're the same, skip to Step 3. Otherwise, continue to Step 2.
Multiply the numerator and denominator of fraction 1 by the denominator of fraction 2. Multiply the numerator and denominator of fraction 2 by the denominator of fraction 1. Compare the digits of the numerators from left to right.
Step 4. Convert the decimal to a fraction. Just place the decimal over 1. Step 2. Step 5.
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