Simplify 3/5-2/7+/45-/28.A)2/12B)2/2C)6/5-4/7D)6/10-4/14(ONLY ANSWER WITH OPTIONS ABOVE)
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
3/5 -2/7 +(-45/28)
Solution:
In order to simplify the given fraction, we take the lcd of 5, 7 and 28, which is in our case is 140. The shortcut here is to multiply 5 by 28, since we know that 28 is already a factor of 7. Next divide each denominator by 28 and multiply the quotient to the numerator.
= 3/5 -2/7 +(-45/28)
= 84/140 - 40 /140 -225/140
Combine like terms.
= -181/140
181 cannot be factored further since it is a prime number.
Final answer:
-181/140