Subtract 7/8 - 5/6. Write your answer as a fraction in simplest form.
Understand the Problem
The question is asking to subtract two fractions (7/8 - 5/6) and provide the result in simplest form.
Answer
The result is $\frac{1}{24}$.
Answer for screen readers
The result of the subtraction is $\frac{1}{24}$.
Steps to Solve
- Find a common denominator
To subtract the fractions $\frac{7}{8}$ and $\frac{5}{6}$, we need a common denominator. The least common multiple (LCM) of 8 and 6 is 24.
- Convert the fractions
Next, convert each fraction to have the common denominator of 24.
For $\frac{7}{8}$: $$\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}$$
For $\frac{5}{6}$: $$\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}$$
- Subtract the fractions
Now that we have the fractions with the same denominator, we can subtract them: $$\frac{21}{24} - \frac{20}{24} = \frac{21 - 20}{24} = \frac{1}{24}$$
- Simplify the result
The fraction $\frac{1}{24}$ is already in its simplest form.
The result of the subtraction is $\frac{1}{24}$.
More Information
The process of subtracting fractions involves finding a common denominator, converting the fractions, and then performing the subtraction. In this case, the answer $\frac{1}{24}$ represents a very small portion of a whole.
Tips
- Forgetting to find a common denominator before subtracting the fractions.
- Not converting each fraction properly to the common denominator.
- Simplifying the result incorrectly or not simplifying at all.
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