You are watching: Add and simplify: 9/16 + 1/2=?
Reduce (simplify) fractions to your lowest terms equivalents:To mitigate a fraction: divide the numerator and denominator by your greatest usual factor, GCF.
Fraction: 9/16 currently reduced come the shortest terms. The numerator and also denominator have actually no common prime factors. Their prime factorization: 9 = 32; 16 = 24; gcf (32; 24) = 1;
reduce (simplify) fountain to their most basic form, digital calculator
To run fractions, construct up their denominators the same.
Calculate LCM, the least common multiple of the platform of the fractions:LCM will certainly be the usual denominator that the fractions the we work with.
The prime factorization of the denominators: 16 = 24; 2 is a prime number; Multiply all the unique prime factors, by the biggest exponents: LCM (16; 2) = 24 = 16
Divide LCM through the molecule of every fraction. Because that fraction: 9/16 is 16 ÷ 16 = 1; for fraction: - 1/2 is 16 ÷ 2 = 24 ÷ 2 = 8;
Expand each fraction - main point the numerator and also denominator through the expanding number. Then job-related with the molecule of the fractions.
9/16 - 1/2 = (1 × 9)/(1 × 16) - (8 × 1)/(8 × 2) = 9/16 - 8/16 = (9 - 8)/16 = 1/16
As a confident proper fraction (numerator 9/16 - 1/2 = 1/16
As a decimal number: 9/16 - 1/2 ≈ 0.06
As a percentage: 9/16 - 1/2 = 6.25%
More to work of this kind:
just how to include the ordinary fractions: 13/25 + 4/10Writing numbers: comma "," offered as a thousands separator; point "." provided as a decimal mark; Symbols: / portion bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;
Subtract simple fractions, online calculatorEnter ordinary fractions to subtract, ie: 6/9 - 8/36 - 12/-90 + 5/20:
The recent subtracted fractions
|9/16 - 1/2 = ?||Sep 18 14:00 UTC (GMT)|
|269/42 - 88/36 = ?||Sep 18 14:00 UTC (GMT)|
|52/46 + 23/39 = ?||Sep 18 14:00 UTC (GMT)|
|- 13/21 + 9/6 = ?||Sep 18 14:00 UTC (GMT)|
|10/24 - 5/16 = ?||Sep 18 14:00 UTC (GMT)|
|43/22 - 28/39 + 33/29 - 24/44 = ?||Sep 18 14:00 UTC (GMT)|
|46/32 - 48/33 = ?||Sep 18 13:59 UTC (GMT)|
|16/47 - 12/39 = ?||Sep 18 13:59 UTC (GMT)|
|41/2 - 32/3 = ?||Sep 18 13:59 UTC (GMT)|
|59/5,753 - 83/25 = ?||Sep 18 13:59 UTC (GMT)|
|- 9/5 - 4/7 + 13/4 - 11/11 = ?||Sep 18 13:59 UTC (GMT)|
|32/51 - 47/22 = ?||Sep 18 13:59 UTC (GMT)|
|- 62/139 - 60/27 = ?||Sep 18 13:59 UTC (GMT)|
|view more... Subtracted fountain|
There are two cases concerning the denominators once we subtract simple fractions:A. The fractions have actually like denominators; B. The fractions have actually unlike denominators.
A. Exactly how to subtract ordinary fractions that have actually like denominators?Simply subtract the molecule of the fractions. The denominator of the resulting fraction will be the usual denominator that the fractions. Minimize the result fraction.
An instance of subtracting ordinary fractions that have actually like denominators, v explanations3/18 + 4/18 - 5/18 = (3 + 4 - 5)/18 = 2/18; We just subtracted the molecule of the fractions: 3 + 4 - 5 = 2; The denominator of the resulting fraction is: 18; The resulting fraction is being diminished as: 2/18 = (2 ÷ 2)/(18 ÷ 2) = 1/9.
B. To subtract fractions with different denominators (unlike denominators), develop up the fractions to the exact same denominator. Just how is the done?1. Reduce the fountain to the lowest state (simplify them). Factor the numerator and the denominator of each fraction, rest them under to prime components (run your prime factorization). Calculate GCF, the greatest common factor the the numerator and of the denominator of every fraction. GCF is the product of every the unique common prime components of the numerator and of the denominator, multiply by the shortest exponents. Division the numerator and the denominator that each fraction by their GCF - after this operation the portion is lessened to that is lowest state equivalent. 2. Calculation the least typical multiple, LCM, of every the fractions" brand-new denominators: LCM is walk to it is in the common denominator of the added fractions, also called the lowest typical denominator (the least common denominator). Element all the brand-new denominators of the diminished fractions (run the prime factorization). The least typical multiple, LCM, is the product of every the distinct prime components of the denominators, multiply by the largest exponents. 3. Calculation each fraction"s expanding number: The broadening number is the non-zero number that will certainly be provided to main point both the numerator and also the denominator of each fraction, in stimulate to develop all the fractions approximately the same typical denominator. Divide the least usual multiple, LCM, calculated above, through the denominator of every fraction, in bespeak to calculate each fraction"s broadening number. 4. Increase each fraction: Multiply every fraction"s both numerator and denominator by the expanding number. At this point, fractions are accumulated to the very same denominator. 5. Subtract the fractions: In order to subtract every the fractions merely subtract every the fractions" numerators. The end fraction will have as a denominator the least common multiple, LCM, calculated above. 6. Reduce the end fraction to the shortest terms, if needed. ... Check out the rest of this article, here: how to subtract ordinary (common) fractions?
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