7/8 - 6/7 as a fraction
Understand the Problem
The question is asking how to subtract two fractions, specifically 7/8 and 6/7, and express the result as a single fraction.
Answer
$ \frac{1}{56} $
Answer for screen readers
The final answer is $ \frac{1}{56} $.
Steps to Solve
- Find a common denominator
To subtract fractions, we need a common denominator. The denominators here are 8 and 7. The least common multiple (LCM) of 8 and 7 is 56.
- Convert each fraction to the common denominator
We convert 7/8 and 6/7 to have the common denominator of 56.
For $ \frac{7}{8} $:
$$ \frac{7}{8} = \frac{7 \times 7}{8 \times 7} = \frac{49}{56} $$
For $ \frac{6}{7} $:
$$ \frac{6}{7} = \frac{6 \times 8}{7 \times 8} = \frac{48}{56} $$
- Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:
$$ \frac{49}{56} - \frac{48}{56} = \frac{49 - 48}{56} = \frac{1}{56} $$
- Write the final answer as a single fraction
The result of subtracting the two fractions is:
$$ \frac{1}{56} $$
The final answer is $ \frac{1}{56} $.
More Information
When subtracting fractions, having a common denominator is essential. In this case, we found that 56 was the least common multiple of the denominators. This method ensures that we accurately subtract the numerators once the fractions are converted.
Tips
- Confusing the process of adding and subtracting fractions, such as not keeping track of the signs correctly.
- Forgetting to find the least common denominator before performing the subtraction.
