70/113 subtracted by 168/4 in Fraction Form

The result of 70/113 subtracted by 168/4 is: -42 70/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1684\) from \(\frac70113\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 113 and 4 is 452.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac70113\) to \(\frac{280}452\)
Convert \(\frac1684\) to \(\frac{18984}452\)

Step 4: Subtract the Numerators

Subtract the numerators: 280 - 18984 = -18704

Step 5: Simplify the Fraction

We can simplify \(\frac-18704452\) to its lowest form.
The greatest common divisor (GCD) of -18704 and 452 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-4676113\).

Step 6: Convert to Mixed Number

The fraction \(\frac-4676113\) can be written as the mixed number \(-42\frac70113\).

Final Answer

The result of 70/113 subtracted by 168/4 is:

\[ \frac{70}{113} - \frac{168}{4} = -42\frac70113 \]

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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