20/119 subtracted by 100/4 in Fraction Form

The result of 20/119 subtracted by 100/4 is: -25 20/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1004\) from \(\frac20119\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 119 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac20119\) to \(\frac{80}476\)
Convert \(\frac1004\) to \(\frac{11900}476\)

Step 4: Subtract the Numerators

Subtract the numerators: 80 - 11900 = -11820

Step 5: Simplify the Fraction

We can simplify \(\frac-11820476\) to its lowest form.
The greatest common divisor (GCD) of -11820 and 476 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-2955119\).

Step 6: Convert to Mixed Number

The fraction \(\frac-2955119\) can be written as the mixed number \(-25\frac20119\).

Final Answer

The result of 20/119 subtracted by 100/4 is:

\[ \frac{20}{119} - \frac{100}{4} = -25\frac20119 \]

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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