6/112 subtracted by 13/4 in Fraction Form

The result of 6/112 subtracted by 13/4 is: -4 45/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac134\) from \(\frac6112\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 112 and 4 is 112.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac6112\) to \(\frac{6}112\)
Convert \(\frac134\) to \(\frac{364}112\)

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 364 = -358

Step 5: Simplify the Fraction

We can simplify \(\frac-358112\) to its lowest form.
The greatest common divisor (GCD) of -358 and 112 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-17956\).

Step 6: Convert to Mixed Number

The fraction \(\frac-17956\) can be written as the mixed number \(-4\frac4556\).

Final Answer

The result of 6/112 subtracted by 13/4 is:

\[ \frac{6}{112} - \frac{13}{4} = -4\frac4556 \]

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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