5/7 subtracted by 7/6 in Fraction Form

The result of 5/7 subtracted by 7/6 is: -19/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{7}{6}$ from $\frac{5}{7}$ .

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 $\frac{5}{7}$ to $\frac{30}{4} 2$
Convert $\frac{7}{6}$ to $\frac{49}{4} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 30 - 49 = -19

Final Answer

The result of 5/7 subtracted by 7/6 is:

\frac{5}{7} - \frac{7}{6} = \frac{-}{1} 942

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: