Resolved: "How do you simplify the ratio 35 to..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

beyondthegametcm

Answered question

2022-02-11

How do you simplify the ratio 35 to 55?

Answer & Explanation

hotlegsaprile2u

Beginner2022-02-12Added 21 answers

Step 1
Write the ratio in fractional form giving:

\frac{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.

\frac{35}{55} \to \frac{35 \div 5}{55 \div 5} = \frac{7}{11}

Step 2
Foot note
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

\frac{black}{red} \to \frac{6}{2}

But considered the black beads as a fraction of all the beads

\frac{6}{6 + 2}

\frac{6}{8}

is very different to

\frac{6}{2}

Never lose sight of the purpose of the numbers is

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