Question

Identify the missing denominator like the subtraction expression 3/5 - 1/blank

Answer 1

To determine the missing denominator in the subtraction expression \( \frac{3}{5} - \frac{1}{\text{blank}} \), we need to analyze the equation.

First, let's say we want to perform the subtraction while ensuring we have a common denominator. The common denominator between \( 5 \) and the missing denominator can be any multiple of both denominators.

Assuming we want the result to be expressed as a fraction with the same denominator, let's represent the missing denominator by \( x \):

\[
\frac{3}{5} - \frac{1}{x}
\]

To perform the subtraction, we need a common denominator, which would be \( 5x \). Rewriting the fractions with the common denominator:

\[
\frac{3x}{5x} - \frac{5}{5x} = \frac{3x - 5}{5x}
\]

Now, let's assume the goal is to create a specific equivalence for the result.

If you have any specific value in mind for the outcome of this subtractive expression, let’s assume you want the result to equal \( \frac{2}{5} \):

Setting the equation:

\[
\frac{3}{5} - \frac{1}{x} = \frac{2}{5}
\]

Now, to solve for \( x \):

1. Starting from:

\[
\frac{3}{5} - \frac{2}{5} = \frac{1}{x}
\]

This simplifies to:

\[
\frac{1}{5} = \frac{1}{x}
\]

2. Therefore, equate the denominators:

\[
x = 5
\]

So, the missing denominator is \( 5 \).

Now you can conclude that \( \frac{3}{5} - \frac{1}{5} = \frac{2}{5} \).

If you meant something else or would like to explore a different equation, please let me know!