How do you evaluate #7.8- \frac { 4} { 3} + 4#?

1 Answer
Aug 13, 2017

All the fractions must be changed to the same form and same denominator and then added algebraically

Explanation:

# 7.8 = 7 8/10 = 7 4/5 #

The least common denominator is 15 so all three terms must be written as a fraction with the denominator of 15

# 7 4/5 = 7 12/15 #

# 4/3 = 20/15 #

# 4 = 60/15 # so

#7 +( 12/15 + 60/15 - 20/15) = 7 +{ ( 12 + 60 - 20)/15}#

# 7 + { 12 + 60 -20)/15}= 7 + 52/15#

# 7 + 52/15 = 7 + 3 7/15 = 10 7/15#