10/185 subtracted by 102/4 in Fraction Form

The result of 10/185 subtracted by 102/4 is: -26 41/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 24$ from $\frac{1}{0} 185$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{0} 185$ to $\frac{40}{7} 40$
Convert $\frac{1}{0} 24$ to $\frac{18870}{7} 40$

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 18870 = -18830

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 8830740$ to its lowest form.
The greatest common divisor (GCD) of -18830 and 740 is 10.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 88374$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 88374$ can be written as the mixed number $- 26 \frac{4}{1} 74$ .

Final Answer

The result of 10/185 subtracted by 102/4 is:

\frac{10}{185} - \frac{102}{4} = - 26 \frac{4}{1} 74

Understanding Fraction Subtraction

How to Subtract Fractions

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

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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