Concept

Unit fraction

Related lectures (17)

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Covers the use of mathematical displays and symbols in mathematics.

Showcases the use of assertions in Stainless to prove properties of fractions.

Covers the decomposition of fractions into simple terms and provides a corollary proof related to the convergence of integrals.

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Explores the concept of real numbers through decimal notation and fraction representation.

Explores designing lessons with a focus on learning goals and constraints.

Explains the conversion process from fractions to decimal numbers and vice versa.

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.

Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.

Covers the extension of addition and multiplication operations in rational numbers.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Covers rational numbers, amplifying and simplifying fractions, and calculating values.

Explains polynomial division, factor decomposition, and rational function simplification.