6/25 subtracted by 62/6 in Fraction Form

The result of 6/25 subtracted by 62/6 is: -11 68/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac626\) from \(\frac625\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 25 and 6 is 150.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac625\) to \(\frac{36}150\)
Convert \(\frac626\) to \(\frac{1550}150\)

Step 4: Subtract the Numerators

Subtract the numerators: 36 - 1550 = -1514

Step 5: Simplify the Fraction

We can simplify \(\frac-1514150\) to its lowest form.
The greatest common divisor (GCD) of -1514 and 150 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-75775\).

Step 6: Convert to Mixed Number

The fraction \(\frac-75775\) can be written as the mixed number \(-11\frac6875\).

Final Answer

The result of 6/25 subtracted by 62/6 is:

\[ \frac{6}{25} - \frac{62}{6} = -11\frac6875 \]

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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