Add, subtract, multiply, and divide fractions
Adding/Subtracting: Find a common denominator, convert each fraction, then add or subtract numerators. Multiplying: Multiply numerators together and denominators together. Dividing: Multiply by the reciprocal (flip the second fraction). The calculator simplifies results by finding the greatest common divisor (GCD) of the numerator and denominator.
Fractions represent parts of a whole and are essential in cooking, construction, measurements, and mathematics. Understanding fraction operations helps with recipe scaling, material estimation, probability calculations, and solving equations. They're more precise than decimals for certain applications.
A fraction has two parts: the numerator (top number) represents how many parts you have, and the denominator (bottom number) represents the total number of equal parts. A proper fraction has a smaller numerator than denominator (like 3/4). An improper fraction has a larger numerator (like 7/4), which can be converted to a mixed number (1 3/4).
Always simplify fractions to their lowest terms for final answers. Convert mixed numbers to improper fractions before calculating, then convert back. When estimating, compare fractions to benchmarks like 1/2 or 1. For cooking, remember that doubling a recipe means doubling each fraction separately. Practice finding common denominators mentally for faster calculations.
To add fractions, find a common denominator, convert each fraction, add the numerators, and simplify. For example: 1/4 + 1/2 = 1/4 + 2/4 = 3/4.
To multiply fractions, multiply the numerators together and multiply the denominators together. For example: 2/3 × 3/4 = 6/12 = 1/2.
To divide fractions, multiply by the reciprocal (flip the second fraction). For example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2.