234/247 subtracted by 30/4 in Fraction Form
The result of 234/247 subtracted by 30/4 is: -7 17/38
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac304\) from \(\frac234247\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 247 and 4 is 988.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac234247\) to \(\frac{936}988\)
Convert \(\frac304\) to \(\frac{7410}988\)
Step 4: Subtract the Numerators
Subtract the numerators: 936 - 7410 = -6474
Step 5: Simplify the Fraction
We can simplify \(\frac-6474988\) to its lowest form.
The greatest common divisor (GCD) of -6474 and 988 is 26.
Dividing both numerator and denominator by the GCD, we get \(\frac-24938\).
Step 6: Convert to Mixed Number
The fraction \(\frac-24938\) can be written as the mixed number \(-7\frac1738\).
Final Answer
The result of 234/247 subtracted by 30/4 is:
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).
Fraction Calculator
Calculate operations between any two fractions: