What is 21⁄4 plus 4 3⁄10? A. 611⁄20 B. 613⁄20 C. 61⁄4 D. 61⁄2

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the equation:

21 / 4 + 4 3/10

Solution:

In order to solve the equation, we must first change the mixed number into improper fraction, this can be done by multiplying the whole number to the denominator and add the product to the numerator, then we will retain the denominator as it is.

= 4 3/10

=43/10

Now we need to find the Least Common Denominator of 21 / 4 and 43/10, which in our case we'll have 20.  Divide 20 by 4 and we'll have the number 5, then we'll multiply 5 to the numerator and the denominator of 21 / 4. For 43/10, we divide 20 by 10, which will result to a quotient of 2, then we multiply 2 to the numerator and denominator.

21 / 4 = 105/20

43/10 = 86/20

= 105/20 + 86/20

= 191/ 20

Final answer:

= 191/ 20