Subtract Fractions Calculator

\[ \frac{a}{b} - \frac{c}{d} = \frac{a \cdot d - c \cdot b}{b \cdot d} \]

➖ subtract two fractions · integer inputs only

enter integers a, b, c, d – each step explained

fraction 1 \(\dfrac{a}{b}\) − \(\dfrac{c}{d}\)

a (numerator 1)

b (denominator 1)

c (numerator 2)

d (denominator 2)

📋 stepwise solution

Step 1: Write the fractions

\[ \frac{a}{b} - \frac{c}{d} \]

Step 2: Find common denominator \(b \cdot d\) and rewrite

\[ \frac{a \times d}{b \times d} - \frac{c \times b}{d \times b} \]

Step 3: Subtract numerators over the common denominator

\[ \frac{a \cdot d - c \cdot b}{b \cdot d} \]

Step 4: Simplify to lowest terms

\[ \frac{N}{D} \]

Step 5: Convert improper fraction to mixed number

\[ \frac{N}{D} = W\frac{R}{D} \]

✅ final result: \[ \text{—} \]

Enter integers in a, b, c, d (b ≠ 0, d ≠ 0). Fractions or decimals are not accepted.
Press subtract & show steps – the five steps update with your numbers (step 5 only appears for improper fractions).
Step 1: original fractions. Step 2: rewrite with common denominator \(b \cdot d\).
Step 3: subtract numerators. Step 4: reduce to lowest terms using gcd.
Step 5: if the result is an improper fraction (|numerator| ≥ denominator), it is converted to a mixed number.
Example: \(\frac{7}{3} - \frac{5}{4} = \frac{7\cdot4}{12} - \frac{5\cdot3}{12} = \frac{28-15}{12} = \frac{13}{12} = 1\frac{1}{12}\).
Negative results are handled correctly (e.g., \(\frac{2}{3} - \frac{5}{4} = -\frac{7}{12}\)).