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When the numerators are the same, the fraction with the higher denominator is less than the fraction with the lower denominator.

The denominator indicates the size of the "parts" being shown as a fraction, and the higher the denominator, the smaller those parts are!

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Q: If two fractions have the same numerator but different denominators is the fraction with the greater denominator greater than or less than the fraction with the lesser denominator?
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When adding or subtracting fractions do you have to have the numerator the same or denominator?

The denominators must be the same, the numerators can be different.


Adding and subtracting unlike denominators?

Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).


How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.


How do you compare fractions with same denominator but different numerators?

If the denominators are the same, the one with the greater numerator is greater.


Why do you find LCM and HCF?

When simplifying fractions it's useful to know what is the HCF of the numerator and denominator is. When adding or subtracting fractions with different denominators it's useful to know what the LCM of them is.

Related questions

When adding or subtracting fractions do you have to have the numerator the same or denominator?

The denominators must be the same, the numerators can be different.


How do you add two fractions with a different denominator?

You add two fractions with a different denominator by multiplying the denominators by a number that will make them equal. Be sure to multiply the numerator by that number too.


How do you multiply fractions with like denominators?

The numerator and denominator of a product of fractions are simply the products of the numerators and denominators respectively. That is, a/b * c/d = (a*c)/(b*d). The denominators can be the same or different - that is irrelevant.


Adding and subtracting unlike denominators?

Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).


When do you add fractions when baking?

In order to add fractions, they must have the same denominators. If the fractions you wish to add do not already have the same denominators, they can be made to do so by finding the right number by which to multiply both the numerator and the denominator of each fraction. To find this number, multiply all the distinct denominators together, then multiply both the numerator and denominator of each fraction by a number found by the dividing the product of the distinct denominators by the denominator of the particular fraction concerned. All the fractions will then have the same denominator. Add the numerators of such fractions together to find the numerator of the sum; its denominator will be the one common to all the fractions.


How do you muliply fractions?

-- Multiply their numerators to get the numerator of their product. -- Multiply their denominators to get the denominator of their product.


How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.


What are the denominators and numerator's of 81?

Fractions have numerators and denominators. 81 isn't a fraction. You could write it as "81/1" if you want to. Then the numerator is 81, and the denominator is 1.


How do you compare fractions with same denominator but different numerators?

If the denominators are the same, the one with the greater numerator is greater.


Why do you find LCM and HCF?

When simplifying fractions it's useful to know what is the HCF of the numerator and denominator is. When adding or subtracting fractions with different denominators it's useful to know what the LCM of them is.


How do you order fractions with unlike denominators?

You can convert them to equivalent fractions with like denominators, then simply compare the numerators.You might also convert each fraction to a decimal (divide the numerator by the denominator); then you can also compare them.


Can two fractions with the same numerator and different denominators be equal?

Only if the numerator is zero,