Answer as a mixed number: 13 19/60
=========================================================
Step-by-step explanation:
I'll be using this formula
a & b/c = (a*c+b)/c
to convert from a mixed number to an improper fraction
a & b/c = (a*c + b)/c
2 & 5/6 = (2*6 + 5)/6
2 & 5/6 = (12 + 5)/6
2 & 5/6 = 17/6
Use similar steps to find that
4 & 7/10 = 47/10
-------------------------
The picture is 17/6 inches tall. The length is 47/10 times this height value.
length = (47/10)*(height)
length = (47/10)*(17/6)
length = (47*17)/(10*6)
length = 799/60
------------------------
Then let's convert that to a mixed number.
Use a calculator to get 799/60 = 13.31667 approximately.
The stuff to the left of the decimal is the whole part 13, aka the quotient.
The remainder is calculated like so:
remainder = numerator - quotient*denominator
remainder = 799 - 13*60
remainder = 19
Therefore, 799/60 = 13 remainder 19
In other words, 799/60 = 13 & 19/60 which is equivalent to writing 13 19/60