10/47 subtracted by 12/4 in Fraction Form

The result of 10/47 subtracted by 12/4 is: -3 10/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2} 4$ from $\frac{1}{0} 47$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 47 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{0} 47$ to $\frac{40}{1} 88$
Convert $\frac{1}{2} 4$ to $\frac{564}{1} 88$

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 564 = -524

Step 5: Simplify the Fraction

We can simplify $\frac{-}{5} 24188$ to its lowest form.
The greatest common divisor (GCD) of -524 and 188 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 3147$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 3147$ can be written as the mixed number $- 3 \frac{1}{0} 47$ .

Final Answer

The result of 10/47 subtracted by 12/4 is:

\frac{10}{47} - \frac{12}{4} = - 3 \frac{1}{0} 47

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).

Fraction Calculator

Calculate operations between any two fractions: