Add, subtract, multiply, and divide fractions. Get simplified results, decimal equivalents, and mixed numbers instantly.
Answer
3/4
Step 1: Find the common denominator
LCD of 2 and 4 = 4
Step 2: Convert fractions
1/2 = 2/4
1/4 = 1/4
Step 3: Add numerators
2 + 1 = 3
Step 4: Simplify
3/4 = 3/4
Result: 3/4 = 0.7500
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Answer
3/4
To add fractions, find a common denominator, convert both fractions, add numerators, and simplify. To multiply fractions, multiply numerators together and denominators together. To divide fractions, multiply by the reciprocal of the second fraction. Always simplify the result by dividing numerator and denominator by their GCF.
A fraction represents a part of a whole, written as a numerator (top number) over a denominator (bottom number). Fraction arithmetic involves adding, subtracting, multiplying, and dividing these expressions. Fractions can be proper (numerator < denominator), improper (numerator >= denominator), or mixed numbers (whole number plus fraction).
To add fractions, find a common denominator, convert both fractions, add numerators, and simplify. To multiply fractions, multiply numerators together and denominators together. To divide fractions, multiply by the reciprocal of the second fraction. Always simplify the result by dividing numerator and denominator by their GCF.
To add fractions: 1) Find a common denominator (LCD), 2) Convert each fraction to equivalent fractions with the LCD, 3) Add the numerators, 4) Keep the denominator, 5) Simplify if possible. Example: 1/4 + 1/2 = 1/4 + 2/4 = 3/4.
Multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together. Then simplify if possible. Example: 2/3 × 3/4 = 6/12 = 1/2.
To divide fractions, multiply by the reciprocal of the second fraction (flip it). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Remember: "Keep, Change, Flip."
A mixed number combines a whole number and a proper fraction, like 2 1/3. To convert an improper fraction (like 7/3) to a mixed number: divide numerator by denominator. The quotient is the whole number, the remainder is the new numerator.
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it. Example: 12/18 - GCD is 6 - so 12/18 = 2/3. A fraction is fully simplified when the GCD is 1.
Last updated: 2025-01-15
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Answer
3/4