How do you evaluate #8\frac{1}{2}-5\frac{3}{10}#?
2 Answers
Explanation:
First, I would normally change mixed numbers to improper fractions:
Now we find the LCD for these two fractions. The LCD (least common denominator) would be
So we would adjust the fraction
As the denominators are equal, we can combine the fractions.
Explanation:
#"note that "8 1/2 =8+1/2#
#"and "5 3/10=5+3/10#
#"we can express the calculation in terms of whole"#
#"numbers and fractions"#
#rArr8 1/2-5 3/10#
#=8+1/2-(5+3/10)#
#=8+1/2-5-3/10#
#=(8-5)+1/2-3/10#
#=3+5/10-3/10larrcolor(blue)" common denominator of 10"#
#=3+2/10#
#=3+cancel(2)^1/cancel(10)^5#
#=3+1/5=3 1/5#