51/4 subtracted by 3/3 in Fraction Form

The result of 51/4 subtracted by 3/3 is: 11 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{3}{3}$ from $\frac{5}{1} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 4 and 3 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{5}{1} 4$ to $\frac{153}{1} 2$
Convert $\frac{3}{3}$ to $\frac{12}{1} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 153 - 12 = 141

Step 5: Simplify the Fraction

We can simplify $\frac{1}{4} 112$ to its lowest form.
The greatest common divisor (GCD) of 141 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{7} 4$ .

Step 6: Convert to Mixed Number

The fraction $\frac{4}{7} 4$ can be written as the mixed number $11 \frac{3}{4}$ .

Final Answer

The result of 51/4 subtracted by 3/3 is:

\frac{51}{4} - \frac{3}{3} = 11 \frac{3}{4}

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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