13/7 subtracted by 4/6 in Fraction Form

The result of 13/7 subtracted by 4/6 is: 1 4/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{4}{6}$ from $\frac{1}{3} 7$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{3} 7$ to $\frac{78}{4} 2$
Convert $\frac{4}{6}$ to $\frac{28}{4} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 78 - 28 = 50

Step 5: Simplify the Fraction

We can simplify $\frac{5}{0} 42$ to its lowest form.
The greatest common divisor (GCD) of 50 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{5} 21$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{5} 21$ can be written as the mixed number $1 \frac{4}{2} 1$ .

Final Answer

The result of 13/7 subtracted by 4/6 is:

\frac{13}{7} - \frac{4}{6} = 1 \frac{4}{2} 1

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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