290/145 subtracted by 26/4 in Fraction Form

The result of 290/145 subtracted by 26/4 is: -5 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac264\) from \(\frac290145\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 145 and 4 is 580.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac290145\) to \(\frac{1160}580\)
Convert \(\frac264\) to \(\frac{3770}580\)

Step 4: Subtract the Numerators

Subtract the numerators: 1160 - 3770 = -2610

Step 5: Simplify the Fraction

We can simplify \(\frac-2610580\) to its lowest form.
The greatest common divisor (GCD) of -2610 and 580 is 290.
Dividing both numerator and denominator by the GCD, we get \(\frac-92\).

Step 6: Convert to Mixed Number

The fraction \(\frac-92\) can be written as the mixed number \(-5\frac12\).

Final Answer

The result of 290/145 subtracted by 26/4 is:

\[ \frac{290}{145} - \frac{26}{4} = -5\frac12 \]

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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