Add two fractions step by step – integer inputs only

Fractions Addition Calculator (step‑by‑step · integer only)

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

➕ add 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: Add 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 calculate – 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: add 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: \(\frac{7}{3} + \frac{5}{4} = \frac{7\cdot4}{12} + \frac{5\cdot3}{12} = \frac{28+15}{12} = \frac{43}{12} = 3\frac{7}{12}\).