7/32 subtracted by 26/6 in Fraction Form

The result of 7/32 subtracted by 26/6 is: -5 85/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{6} 6$ from $\frac{7}{3} 2$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 32 and 6 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{7}{3} 2$ to $\frac{21}{9} 6$
Convert $\frac{2}{6} 6$ to $\frac{416}{9} 6$

Step 4: Subtract the Numerators

Subtract the numerators: 21 - 416 = -395

Step 5: Convert to Mixed Number

The fraction $\frac{-}{3} 9596$ can be written as the mixed number $- 5 \frac{8}{5} 96$ .

Final Answer

The result of 7/32 subtracted by 26/6 is:

\frac{7}{32} - \frac{26}{6} = - 5 \frac{8}{5} 96

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: