How do you simplify the ratio 35 to 55?

Question

Autumn Arnold · Accepted Answer

#35/55-=7/11" "# The #-=# means equivalent to

Or you can write it as #" "7:11# Write the ratio in fractional form giving: #35/55# To maintain the correct proportion of a ratio, if you multiply or divide one of the numbers by some value then you have to do the same thing to the other number. #35/55" "->" "(35-:5)/(55-:5) =7/11# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Foot note")# #color(brown)("Ratio in the above format must not be thought of as a fraction of something."# Explained by example: Suppose we hade 6 black beads and 2 red beads Then the ratio #("black")/("red") ->6/2# But considered the black beads as a fraction of all the beads #6/(6+2)# #6/8# is very different to #6/2# #color(brown)("NEVER LOSE SIGHT OF THE PURPOSE OF THE NUMBERS IS")#

Luna Angel · Answer

undefined To simplify the ratio 35 to 55, you can divide both numbers by their greatest common divisor (GCD), which is 5 in this case.

35 ÷ 5 = 7
55 ÷ 5 = 11

So, the simplified ratio is 7 to 11.