19/250 subtracted by 154/3 in Fraction Form

The result of 19/250 subtracted by 154/3 is: -52 557/750

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1543\) from \(\frac19250\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 250 and 3 is 750.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac19250\) to \(\frac{57}750\)
Convert \(\frac1543\) to \(\frac{38500}750\)

Step 4: Subtract the Numerators

Subtract the numerators: 57 - 38500 = -38443

Step 5: Convert to Mixed Number

The fraction \(\frac-38443750\) can be written as the mixed number \(-52\frac557750\).

Final Answer

The result of 19/250 subtracted by 154/3 is:

\[ \frac{19}{250} - \frac{154}{3} = -52\frac557750 \]

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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