Subtracting Mixed Fractions Calculator

Mixed Fractions Subtraction Formula:

\[ (m \frac{n}{o}) - (p \frac{q}{r}) = \frac{(m \times o + n) \times r - (p \times r + q) \times o}{o \times r} \]

First Whole Number (m):

First Numerator (n):

First Denominator (o):

Second Whole Number (p):

Second Numerator (q):

Second Denominator (r):

Subtraction Result:

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1. What is Mixed Fractions Subtraction?

Mixed fractions subtraction involves subtracting two numbers that each consist of a whole number and a proper fraction. The calculator provides a step-by-step solution to this mathematical operation.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ (m \frac{n}{o}) - (p \frac{q}{r}) = \frac{(m \times o + n) \times r - (p \times r + q) \times o}{o \times r} \]

Where:

\( m \) — First whole number
\( n \) — First numerator
\( o \) — First denominator
\( p \) — Second whole number
\( q \) — Second numerator
\( r \) — Second denominator

Explanation: The formula converts mixed fractions to improper fractions, finds a common denominator, performs the subtraction, and simplifies the result.

3. Importance of Mixed Fractions Calculation

Details: Understanding mixed fractions subtraction is essential for various mathematical applications, including measurements, ratios, and real-world problem solving.

4. Using the Calculator

Tips: Enter whole numbers, numerators, and denominators for both fractions. Denominators must be positive integers. The calculator will simplify the result to its lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will convert improper fractions to mixed numbers when possible.

Q2: Can I subtract fractions with different denominators?
A: Yes, the calculator automatically finds a common denominator.

Q3: What if I get a negative result?
A: Negative results are displayed with the negative sign before the whole number or numerator.

Q4: How does the calculator simplify fractions?
A: It uses the greatest common divisor (GCD) to reduce fractions to their simplest form.

Q5: Can I use this for whole numbers only?
A: Yes, simply enter 0 for the numerator and 1 for the denominator.