how to add and subtract mixed fractions with unlike denominators?
97507
['To add mixed numbers, we first add the whole numbers together, and then the fractions. ... ', 'If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding. ... ', 'Subtracting mixed numbers is very similar to adding them.']
1086361
Here's the easy way to subtract fractions that have different denominators: Cross-multiply the two fractions and subtract the second number from the first to get the numerator of the answer. After you cross-multiply, be sure to subtract in the correct order.
1087280
If the fraction parts of a mixed number have the same denominator and if we are subtracting a smaller fraction from a larger fraction, then the subtraction is straightforward: subtract the fractions and then subtract the whole numbers.
62554
['Cross-multiply the two fractions and subtract the second number from the first to get the numerator of the answer. For example, suppose you want to subtract 6/7 – 2/5. ... ', 'Multiply the two denominators together to get the denominator of the answer. 7 5 = 35.', 'Putting the numerator over the denominator gives you your answer.']
183718
Write both fractions as equivalent fractions with a denominator of 15. Since you're trying to subtract a larger fraction from a smaller one, you need to "borrow" a one from the integer 4, change it to 15/15, and add it to the fraction. Now the problem becomes 3 20/15 minus 3 9/15 and the answer is 11/15.
1260914
Subtraction of negative fractions follows the same method. Thus, if the negative fractions you are adding do not have the same denominator, you can make it so. -1/2, for example, can be written as -2/4, -3/6, -4/8, et cetera. In each case, the number at the top is always half the number at the bottom.
1071266
Converting Mixed Fractions to Improper Fractions Multiply the whole number part by the fraction's denominator. Then write the result on top of the denominator.
1396675
['Things to remember:', 'Step 1: Find a common multiple of the denominators.', 'HINT: The easiest way to do this is multiply the denominators together.', 'Step 2: Multiply the fractions so that the denominators the same.', 'Step 3: Add or subtract the new fractions.', 'Step 4: See if you can simplify.']
192420
['Simplify the fractions if not in lowest terms.', 'Multiply the numerators of the fractions to get the new numerator.', 'Multiply the denominators of the fractions to get the new denominator.']
1050211
Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers.
521541
['The bottom numbers are different. See how the slices are different sizes? ... ', 'To make the bottom numbers the same, multiply the top and bottom of the first fraction (1/2) by 3 like this:', 'Subtract the top numbers and put the answer over the same denominator:', 'Simplify the fraction:']
136044
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
19410
['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). Put the answer over the same denominator.', 'Simplify the fraction (if needed).']
1190652
['Subtract 2/5 from 4/7. ... ', 'Subtract -6/7 from -5/8. ... ', 'Subtract -4/9 from 2/5. ... ', 'The sum of two rational numbers is -3/5.']
1392795
['Things to remember:', 'Step 1: Find a common multiple of the denominators.', 'HINT: The easiest way to do this is multiply the denominators together.', 'Step 2: Multiply the fractions so that the denominators the same.']
546432
Adding mixed fractions? You could first convert each to an improper fraction. If they have common denominators, then you could add the fractions together, simplify, and convert the answer back to a mixed fraction.
69492
['write down the larger number first and the smaller number directly below it. making sure to line up the columns!', 'then do subtractions one column at a time like this (press play button):']