34/315 subtracted by 8/3 in Fraction Form

The result of 34/315 subtracted by 8/3 is: -3 139/315

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac83\) from \(\frac34315\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 315 and 3 is 315.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac34315\) to \(\frac{34}315\)
Convert \(\frac83\) to \(\frac{840}315\)

Step 4: Subtract the Numerators

Subtract the numerators: 34 - 840 = -806

Step 5: Convert to Mixed Number

The fraction \(\frac-806315\) can be written as the mixed number \(-3\frac139315\).

Final Answer

The result of 34/315 subtracted by 8/3 is:

\[ \frac{34}{315} - \frac{8}{3} = -3\frac139315 \]

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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