Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 08, 2024

Elsie was a solo performer for 4 out of 15 years as a professional musician. What is the ratio of solo years to total years?

STEP 1

Assumptions
1. Elsie was a solo performer for 4 years.
2. Elsie was a professional musician for a total of 15 years.
3. We need to find the ratio of the number of years Elsie was a solo performer to the total number of years she was a professional musician.

STEP 2

To find the ratio, we will divide the number of years Elsie was a solo performer by the total number of years she was a professional musician.
$Ratio = \frac{Number\, of\, years\, as\, a\, solo\, performer}{Total\, number\, of\, years\, as\, a\, professional\, musician}$

STEP 3

Now, plug in the given values for the number of years as a solo performer and the total number of years as a professional musician to calculate the ratio.
$Ratio = \frac{4}{15}$

STEP 4

The ratio is already in its simplest form, as 4 and 15 have no common factors other than 1. Therefore, the ratio of the number of years Elsie was a solo performer to the number of years she was a professional musician is $\frac{4}{15}$ .
Elsie was a solo performer for $\frac{4}{15}$ of the time she was a professional musician.

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