Fraction Calculator

Fractions remain a cornerstone of quantitative reasoning, and this tool handles all four basic operations—addition, subtraction, multiplication, and division—while returning exact, fully reduced results. The skill is far from academic: in 2026, with renewed emphasis on STEM education and financial literacy, fractional thinking shows up everywhere from reading investment portfolios to scaling recipes, and more than 60% of high school math curricula worldwide still build heavily on fractions. Students, teachers, and working professionals can lean on it to clear away tedious arithmetic and focus on the problem itself.

The math behind each operation follows standard arithmetic. Addition and subtraction begin by finding the least common multiple (LCM) of the denominators, rewriting each fraction in equivalent form before combining the numerators. Multiplication is more direct—numerators multiply together and denominators multiply together—while division flips the second fraction and multiplies. Every answer is then reduced to lowest terms, recast as a mixed number where that makes sense, and shown as a decimal so you can read the result whichever way suits you.

Entering mixed numbers correctly matters: '1 1/2' means one and one half, not the improper fraction eleven halves, so keep the whole part separate from the fractional part. The tool simplifies automatically, but it helps to know why a result reduces the way it does, since that intuition transfers to mental math. Watch the denominators as well—dividing by zero has no defined value and will return an error or an infinite result.