What is #7 9/10# as an improper fraction?

2 Answers
Nov 6, 2016

#7 9/10 = (10xx7+9)/10 = 79/10#

Explanation:

Remember that a whole number is:

#8/8, 3/3, 11/11, 40/40, etc#

In this case we are working with the fraction 'tenths'.
Each whole number is #10/10#

In 7 whole numbers there will be #7 xx10 = 70# tenths

#70/10 = 7#

There are also 9 extra 'tenths'.

In total there are #10xx7 +9 = 79# tenths.

#7 9/10 = (10xx7+9)/10 = 79/10#

Nov 10, 2016

With practice you would start to use shortcuts and speed up solving this type of question.

#79/10#

Explanation:

Write as #7+9/10#

Multiply by 1 and you do not change the value. But 1 comes in many forms so you can change the way a number looks without changing its value.

#" "color(green)([7color(magenta)(xx1)]+9/10" "->" "[7color(magenta)(xx10/10)]+9/10#

#" "70/10+9/10" "=" "(70+9)/10" " =" " 79/10#