31/10 subtracted by 1/2 in Fraction Form

The result of 31/10 subtracted by 1/2 is: 2 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2}$ from $\frac{3}{1} 10$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{1} 10$ to $\frac{31}{1} 0$
Convert $\frac{1}{2}$ to $\frac{5}{1} 0$

Step 4: Subtract the Numerators

Subtract the numerators: 31 - 5 = 26

Step 5: Simplify the Fraction

We can simplify $\frac{2}{6} 10$ to its lowest form.
The greatest common divisor (GCD) of 26 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{3} 5$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{3} 5$ can be written as the mixed number $2 \frac{3}{5}$ .

Final Answer

The result of 31/10 subtracted by 1/2 is:

\frac{31}{10} - \frac{1}{2} = 2 \frac{3}{5}

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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