Question
Calculate (3)/(4)+(2)/(5) . Give your answer as a mixed number.
Answer
4.1
(314 Votes)
Owen
Professional · Tutor for 6 years
Answer
1 3/20
Explanation
The problem requires us to sum up two fractions, hance, it belongs to basic math operation. Fractions become a breeze to add when the denominators of both the numbers are alike, The denominators 4 and 5 in our fractions are coprime numbers so we will need to make their denominators equal by finding the least common multiple (LCM). The LCM of 4 and 5 is 20. Once the denominators match, adding fractions as simple as regrouping their numerators together. The sum can be wholly expressed by combining the numerator and the denominator as a proper fraction (numerator less than denominator), improper fraction (numerator greater than denominator) or mixed fraction (an integer and a fraction). In this case we are asked to give our answer in terms of a mixed number, so it follows that the answer to this question would conform to the mixed fraction style.Step 1: (3/4)*(5/5) + (2/5)*(4/4) = 15/20 + 8/20 = 23 / 20Step 2:Now, 20 doesn’t completely divide 23, the integral part which gets produces after integer division is 1 and the remainder is 3.So;23/20 = 1 + 3/20