How To Solve 3 Fractions

Three Fraction Operations:

\[ \frac{a}{b} \text{ op } \frac{c}{d} \text{ op } \frac{e}{f} \]

First Fraction Numerator (a):

First Fraction Denominator (b):

First Operation:

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Second Operation:

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Result:

Simplified:

Decimal:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Are Fraction Operations?

Fraction operations involve performing arithmetic calculations (addition, subtraction, multiplication, or division) with fractions. When working with three fractions, the order of operations becomes important.

2. How To Solve Three Fractions

The calculator solves expressions of the form:

\[ \frac{a}{b} \text{ op1 } \frac{c}{d} \text{ op2 } \frac{e}{f} \]

Where:

a, c, e are numerators
b, d, f are denominators (cannot be zero)
op1 and op2 are operations (+, -, ×, ÷)

Calculation Steps:

Perform the first operation between the first two fractions
Take that result and perform the second operation with the third fraction
Simplify the final result by dividing numerator and denominator by their greatest common divisor (GCD)

3. Order of Operations

Important: The calculator performs operations left-to-right. For more complex expressions with different operation priorities, use parentheses to group operations.

4. Using the Calculator

Instructions: Enter all numerators and denominators (denominators must be non-zero), select the two operations between fractions, and click Calculate. The calculator will show the result in three forms: original fraction, simplified fraction, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if denominators are zero?
A: The calculator will not accept zero denominators as division by zero is undefined.

Q2: How does the calculator handle negative fractions?
A: Negative signs can be entered in the numerator or denominator (but not both). The calculator properly handles negative values in all operations.

Q3: Does the calculator follow PEMDAS/BODMAS rules?
A: This calculator performs operations strictly left-to-right. For complex expressions with different operation priorities, you would need to break the calculation into steps.

Q4: How are fractions simplified?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number to simplify.

Q5: Can I enter mixed numbers?
A: No, you must convert mixed numbers to improper fractions first (e.g., 1½ becomes 3/2).