46/312 subtracted by 3/4 in Fraction Form

The result of 46/312 subtracted by 3/4 is: -47/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac34\) from \(\frac46312\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 312 and 4 is 312.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac46312\) to \(\frac{46}312\)
Convert \(\frac34\) to \(\frac{234}312\)

Step 4: Subtract the Numerators

Subtract the numerators: 46 - 234 = -188

Step 5: Simplify the Fraction

We can simplify \(\frac-188312\) to its lowest form.
The greatest common divisor (GCD) of -188 and 312 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-4778\).

Final Answer

The result of 46/312 subtracted by 3/4 is:

\[ \frac{46}{312} - \frac{3}{4} = \frac-4778 \]

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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