5/4 subtracted by 1/6 in Fraction Form

The result of 5/4 subtracted by 1/6 is: 1 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac16\) from \(\frac54\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 4 and 6 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac54\) to \(\frac{15}12\)
Convert \(\frac16\) to \(\frac{2}12\)

Step 4: Subtract the Numerators

Subtract the numerators: 15 - 2 = 13

Step 5: Convert to Mixed Number

The fraction \(\frac1312\) can be written as the mixed number \(1\frac112\).

Final Answer

The result of 5/4 subtracted by 1/6 is:

\[ \frac{5}{4} - \frac{1}{6} = 1\frac112 \]

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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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