21/34 subtracted by 10/4 in Fraction Form

The result of 21/34 subtracted by 10/4 is: -2 2/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 4$ from $\frac{2}{1} 34$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 34 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 34$ to $\frac{42}{6} 8$
Convert $\frac{1}{0} 4$ to $\frac{170}{6} 8$

Step 4: Subtract the Numerators

Subtract the numerators: 42 - 170 = -128

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 2868$ to its lowest form.
The greatest common divisor (GCD) of -128 and 68 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{3} 217$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{3} 217$ can be written as the mixed number $- 2 \frac{2}{1} 7$ .

Final Answer

The result of 21/34 subtracted by 10/4 is:

\frac{21}{34} - \frac{10}{4} = - 2 \frac{2}{1} 7

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: