70/132 subtracted by 306/2 in Fraction Form

The result of 70/132 subtracted by 306/2 is: -153 35/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac3062\) from \(\frac70132\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 132 and 2 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac70132\) to \(\frac{70}132\)
Convert \(\frac3062\) to \(\frac{20196}132\)

Step 4: Subtract the Numerators

Subtract the numerators: 70 - 20196 = -20126

Step 5: Simplify the Fraction

We can simplify \(\frac-20126132\) to its lowest form.
The greatest common divisor (GCD) of -20126 and 132 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-1006366\).

Step 6: Convert to Mixed Number

The fraction \(\frac-1006366\) can be written as the mixed number \(-153\frac3566\).

Final Answer

The result of 70/132 subtracted by 306/2 is:

\[ \frac{70}{132} - \frac{306}{2} = -153\frac3566 \]

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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