41/17 subtracted by 1/4 in Fraction Form

The result of 41/17 subtracted by 1/4 is: 2 11/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 14 from 4117.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 17 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4117 to 16468
Convert 14 to 1768

Step 4: Subtract the Numerators

Subtract the numerators: 164 - 17 = 147

Step 5: Convert to Mixed Number

The fraction 14768 can be written as the mixed number 21168.

Final Answer

The result of 41/17 subtracted by 1/4 is:

411714=21168

Understanding Fraction Subtraction

How to Subtract Fractions

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

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (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

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