Converting Fractions to Percentages and Vice Versa: Using ratios for calculation

Calculate the percentage of the whole numberConvert fractions to percentagesConvert fractions with a denominator of 100 to percentagesConverting from a fraction to a percentage by multiplying the fraction by 100Converting from a percentage to a fraction with a denominator of 100Express one number as a percentage of another
Question 1

In a grocery store, the ratio of carbonated drinks to all beverages is \( 1:10 \),
what percentage of all beverages are carbonated drinks?

Examples with solutions for Converting Fractions to Percentages and Vice Versa: Using ratios for calculation

Exercise #1

In a grocery store, the ratio of carbonated drinks to all beverages is 1:10 1:10 ,
what percentage of all beverages are carbonated drinks?

Step-by-Step Solution

We need to find the percentage of beverages that are carbonated drinks given the ratio 1:10 1:10 .

This ratio 1:10 1:10 indicates that for every 1 part of carbonated drinks, there are 10 parts of all beverages.

  • Step 1: Express the ratio as a fraction: 110 \frac{1}{10} .
  • Step 2: Convert the fraction to a percentage by multiplying by 100: 110×100=10%\frac{1}{10} \times 100 = 10\%.

Therefore, the percentage of all beverages that are carbonated drinks is 10% 10\% .

Answer

10% 10\%