41/13 subtracted by 4/4 in Fraction Form

The result of 41/13 subtracted by 4/4 is: 2 2/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{4}{4}$ from $\frac{4}{1} 13$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{1} 13$ to $\frac{164}{5} 2$
Convert $\frac{4}{4}$ to $\frac{52}{5} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 164 - 52 = 112

Step 5: Simplify the Fraction

We can simplify $\frac{1}{1} 252$ to its lowest form.
The greatest common divisor (GCD) of 112 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{8} 13$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{8} 13$ can be written as the mixed number $2 \frac{2}{1} 3$ .

Final Answer

The result of 41/13 subtracted by 4/4 is:

\frac{41}{13} - \frac{4}{4} = 2 \frac{2}{1} 3

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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