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FutureStarrHow to Do Fractions on a Calculator OR
I mostly think of math like baking: it’s the process of using intuition and logic to create a perfect result. Mastering fractions is no different: use your intuition and logic to create the perfect result, not a calculator.
Solution: First, convert 1 1/5 to a simple fraction by (1 x 5 + 1)/5 = 6/5. The least common denominator of 5 and 3 is 15, so 6/5 = 18/15 and 2/3 = 10/15. Subtracting 10 from 18 = 8, so the answer is 8/15. It cannot be simplified further. In decimal it is 0.53(3). You can verify the result using our tool. It involves factoring the denominators of rational functions and then generating a sum of fractions whose denominators are the factors of the original denominator. Bézout's identity suggests that numerators exist such that the sum of these fractions equals the original rational function. The process of partial fraction decomposition is the process of finding such numerators. The result is an expression that can be more easily integrated or antidifferentiated.
Above, we can see that multiplying the numerators straight across gives us 2 x 1 = 2, resulting in the 2 on the top of the 2/8, and multiplying the denominators straight across gives us 4 x 2 = 8- which is why there is an 8 on the bottom half of the resultant fraction 2/8.This calculator will perform any combination of addition and subtraction on three fractions -- regardless if the three fractions have the same or different denominators -- and give the result in simplest form. Finally, since all three denominators are now the same, you simply add the numerators (6 + 8 + 9) while keeping the denominator (12) the same -- giving you a result of 23/12. But since 23/12 is an improper fraction, you would convert it to the mixed number 1 and 11/12.