84/158 subtracted by 154/4 in Fraction Form

The result of 84/158 subtracted by 154/4 is: -38 5/158

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1544\) from \(\frac84158\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 158 and 4 is 316.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac84158\) to \(\frac{168}316\)
Convert \(\frac1544\) to \(\frac{12166}316\)

Step 4: Subtract the Numerators

Subtract the numerators: 168 - 12166 = -11998

Step 5: Simplify the Fraction

We can simplify \(\frac-11998316\) to its lowest form.
The greatest common divisor (GCD) of -11998 and 316 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-5999158\).

Step 6: Convert to Mixed Number

The fraction \(\frac-5999158\) can be written as the mixed number \(-38\frac5158\).

Final Answer

The result of 84/158 subtracted by 154/4 is:

\[ \frac{84}{158} - \frac{154}{4} = -38\frac5158 \]

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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