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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.
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.
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.
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.
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,
How do you compare fractions that are not similar?
To compare fractions which are not similar, the fractions must be made similar by putting them over a common denominator. There are two similar ways of doing this:Find the lowest common multiple of the denominators. Multiply the first numerator by whatever number you multiply the first denominator by to get that multiple, and do the same with the second numerator and denominator. You can then compare the numerators.Multiply the first numerator by the second denominator, and the second numerator by the first denominator, and put both numerators over the product of the two denominators. You can then compare the numerators.
Can you get Numerator Of The Product Of Two Fractions Is Found By Multiplying The Numerator Of The Two Fractions?
Yes, then do the same for the denominators. But THEN you are usually expected to simplify the resulting fraction.
