Arithmetic Reasoning

Sum of an Arithmetic Sequence

(n/2) × (a + l)

Sum of the First n Terms of an Arithmetic Sequence

(n/2) × [2a + (n - 1)d]

Nth Term of an Arithmetic Sequence

a + (n - 1)d

Multiplying Fractions

(a/b) × (c/d) = (a × c) / (b × d)

Dividing Fractions

(a/b) ÷ (c/d) = (a/b) × (d/c)

Converting a Mixed Number to an Improper Fraction

(Whole Number × Denominator) + Numerator / Denominator

Converting an Improper Fraction to a Mixed Number

A b/c = b / c = A.bc

Converting a Fraction to a Decimal

a/b = a / b

Percent to Decimal

A% = .0A

Decimal to Percent

.AA = AA%

Percent to Fraction

A%/100, simplify

Fraction to Percent

a/b = .ab = ab%