Answer :
To address the question, we need to determine what number should be subtracted from the fraction \(\frac{5}{8}\) to make it equal to 1. Here's a step-by-step solution:
1. Start with the fraction \(\frac{5}{8}\).
2. Set up the equation: Let \( x \) be the number that needs to be subtracted from \(\frac{5}{8}\) to make it equal to 1. This can be written as:
[tex]\[ \frac{5}{8} - x = 1 \][/tex]
3. Isolate \( x \): To find \( x \), we need to solve the equation for \( x \). Subtract \(\frac{5}{8}\) from both sides of the equation:
[tex]\[ -x = 1 - \frac{5}{8} \][/tex]
4. Calculate the right-hand side: Simplify the expression on the right-hand side of the equation. We need to find a common denominator to subtract the fractions properly:
[tex]\[ 1 = \frac{8}{8} \][/tex]
So,
[tex]\[ 1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{8 - 5}{8} = \frac{3}{8} \][/tex]
5. Substitute back: Now the equation becomes:
[tex]\[ -x = \frac{3}{8} \][/tex]
6. Solve for \( x \): Multiply both sides of the equation by -1 to isolate \( x \):
[tex]\[ x = -\frac{3}{8} \][/tex]
Convert this to its decimal form:
[tex]\[ x = -0.375 \][/tex]
Thus, the number that should be subtracted from [tex]\(\frac{5}{8}\)[/tex] to make it 1 is [tex]\(-0.375\)[/tex].
1. Start with the fraction \(\frac{5}{8}\).
2. Set up the equation: Let \( x \) be the number that needs to be subtracted from \(\frac{5}{8}\) to make it equal to 1. This can be written as:
[tex]\[ \frac{5}{8} - x = 1 \][/tex]
3. Isolate \( x \): To find \( x \), we need to solve the equation for \( x \). Subtract \(\frac{5}{8}\) from both sides of the equation:
[tex]\[ -x = 1 - \frac{5}{8} \][/tex]
4. Calculate the right-hand side: Simplify the expression on the right-hand side of the equation. We need to find a common denominator to subtract the fractions properly:
[tex]\[ 1 = \frac{8}{8} \][/tex]
So,
[tex]\[ 1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{8 - 5}{8} = \frac{3}{8} \][/tex]
5. Substitute back: Now the equation becomes:
[tex]\[ -x = \frac{3}{8} \][/tex]
6. Solve for \( x \): Multiply both sides of the equation by -1 to isolate \( x \):
[tex]\[ x = -\frac{3}{8} \][/tex]
Convert this to its decimal form:
[tex]\[ x = -0.375 \][/tex]
Thus, the number that should be subtracted from [tex]\(\frac{5}{8}\)[/tex] to make it 1 is [tex]\(-0.375\)[/tex].
