How do you simplify #40 - 4/5#?

2 Answers
Jul 12, 2016

#196/5#

(or #39 1/5 #or #39.2#)

Explanation:

First, we need to turn #40# into a fraction with #5# as the denominator. We can do this by multiplying #5# to both the numerator and the denominator.

#40/1 times 5/5 = (40times5)/(1times5) = 200/5#

Now that we have two fractions with common denominators, we can go ahead and subtract.

#200/5 - 4/5 = (200-4)/5 = 196/5#

Mixed fraction form:

#196/5 = 39 1/5#

Decimal form:

#196/5=39.2#

Aug 4, 2016

Have a look at: https://socratic.org/s/awL3Kii8

#196/5 = 39 1/5#

#color(green)("Note that the question uses fraction format. The answer should")##color(green)("be in the same format; as a fraction!")#

Explanation:

#color(brown)((40xx1)-4/5) color(blue)(" "->" "(40xx5/5)-4/5#

#(40xx5)/5-4/5" "=" "(200-4)/5#

#=196/5#