Example: 7/30 + 5/42
Find the LCM of the denominators.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
2 x 3 x 5 x 7 = 210, the LCM
30 x 7 = 210
42 x 5 = 210
7/30 x 7/7 = 49/210
5/42 x 5/5 = 25/210
49/210 + 25/210 = 74/210
Simplify if necessary.
7/30 + 5/42 = 37/105
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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.
Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.
The first step it to find a common multiple to the denominators. The least common denominator is preferable because it is small but it is not necessary to find the least one. Next, convert each fraction into an equivalent factor with the common multiple as its denominator. Add together all the numerators and place this over the common denominator. Finally, simplify the answer, if possible.For example1/4 + 1/5 + 1/6Find a common multiple: 4*5*6 = 120 (which is also the LCM).Find equivalent fractions: 1/4 = 30/120, 1/5 = 24/120 and 1/6 = 20/120So 1/4 + 1/5 + 1/6 = (30 + 24 + 20)/120 = 74/120Simplify to 37/60.
Well, isn't that just a happy little question! To write equivalent fractions with the lowest common denominator, you first find the least common multiple of the denominators. Then, you rewrite each fraction using that common denominator. It's like painting a beautiful landscape - just take your time, follow the steps, and soon you'll have a lovely set of equivalent fractions.
To rewrite a fraction so it can have the same common denominator as another fraction, you need to find the least common multiple (LCM) of the denominators of the two fractions. Once you have the LCM, you can then rewrite each fraction with the common denominator by multiplying the numerator and denominator of each fraction by the appropriate factor. This process ensures that both fractions have the same denominator, allowing for easier comparison or addition/subtraction.