how to add fractions with different numerators and denominators?
19908
['Step 1: Make sure the bottom numbers (the denominators) are the same.', 'Step 2: Add the top numbers (the numerators), put that answer over the denominator.', 'Step 3: Simplify the fraction (if needed)']
594523
In the above question, 1/3 + 1/3, there is a common denominator which is “3”. Hence the fractions can be added thus, 1/3 + 1/3 = 2/3.
70678
["Multiply the whole number by the denominator. Let's use 1 ¾. ... ", 'Add that number to the numerator. ... ', 'Write your new numerator over the original denominator.']
748936
Student response: addition. "We will add the fractions." I explain to the students that in order to add fractions with like denominators, all we have to do is add the numerator, which is the top number. If you are subtracting fractions with like denominators, you just subtract the top numbers.
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.
695746
Algebra Examples Reduce the fractional part 18 . Convert the mixed number 518 5 1 8 into an improper fraction first by multiplying the denominator (8) by the whole number part (5) and add the numerator (1) to get the new numerator. Place the new numerator (41) over the old denominator (8) .
1299147
['Find the least common denominator of all the fractions in the equation.', 'Multiply both sides of the equation by that LCD. ... ', 'Isolate the variable terms on one side, and the constant terms on the other side.', 'Simplify both sides.']
1071140
['Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.', 'Multiply the numerator (top) of the fraction by the same number.', 'Take this new numerator and write a % sign after it.']
354330
Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.
31157
Notice that adding (subtracting) fractions with the same denominator is very simple-we simply add (subtract) the numerators and divide by the same denominator. We should already know that we can write equivalent fractions that have different numerators and denominators.
23725
If the two rational expressions that you want to add or subtract have the same denominator you just add/subtract the numerators which each other. When the denominators are not the same in all expressions that you want to add or subtract as in the example below you have to find a common denominator.
76422
['Find the Lowest Common Denominator (LCD) of the fractions.', 'Rename the fractions to have the LCD.', 'Subtract the numerators of the fractions.', 'The difference will be the numerator and the LCD will be the denominator of the answer.', 'Simplify the Fraction.']
264356
['Find the lowest common multiple of the denominators.', 'Express all fractions in terms of the lowest common denominator.', 'Simplify the numerators to obtain the numerator of the answer.']
880880
['Make sure the bottom numbers (the denominators) are the same.', 'Subtract the top numbers (the numerators). ... ', 'Simplify the fraction (if needed).']
79003
['Find the lowest common multiple of the denominators. ... ', 'Convert each fraction to an equivalent fraction that has the LCD as its denominator. ... ', 'Add the numerators and place over the common denominator.', 'Simplify the result by reducing it to lowest terms.']
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.
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.']