10/315 subtracted by 8/4 in Fraction Form
The result of 10/315 subtracted by 8/4 is: -2 2/63
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac84\) from \(\frac10315\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 315 and 4 is 1260.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac10315\) to \(\frac{40}1260\)
Convert \(\frac84\) to \(\frac{2520}1260\)
Step 4: Subtract the Numerators
Subtract the numerators: 40 - 2520 = -2480
Step 5: Simplify the Fraction
We can simplify \(\frac-24801260\) to its lowest form.
The greatest common divisor (GCD) of -2480 and 1260 is 20.
Dividing both numerator and denominator by the GCD, we get \(\frac-12463\).
Step 6: Convert to Mixed Number
The fraction \(\frac-12463\) can be written as the mixed number \(-2\frac263\).
Final Answer
The result of 10/315 subtracted by 8/4 is:
Understanding Fraction Subtraction
How to Subtract Fractions
To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:
\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (when denominators are different)
Or simply \( \frac{a}{b} - \frac{c}{b} = \frac{a - c}{b} \) (when denominators are the same)
Why Simplify Fractions?
Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
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