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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   Fractions can be used to represent ratios and division. [1] Thus the fraction ⁠ 3 / 4 ⁠ can be used to represent the ratio 3:4 (the ratio of the part to the whole), and the division 3 ÷ 4 (three divided by four). We can also write negative fractions, which represent the opposite of a positive fraction.

3. Cross-multiplication - Wikipedia

   en.wikipedia.org/wiki/Cross-multiplication

   The rule of three [1] was a historical shorthand version for a particular form of cross-multiplication that could be taught to students by rote. It was considered the height of Colonial maths education [2] and still figures in the French national curriculum for secondary education, [3] and in the primary education curriculum of Spain. [4]

4. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   The symbols of division are and /. Examples are = and / =. [53] Division is often treated as a special case of multiplication: instead of dividing by a number, it is also possible to multiply by its reciprocal. The reciprocal of a number is 1 divided by that number.

5. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...

6. Unit fraction - Wikipedia

   en.wikipedia.org/wiki/Unit_fraction

   Multiplying two unit fractions produces another unit fraction, but other arithmetic operations do not preserve unit fractions. In modular arithmetic, unit fractions can be converted into equivalent whole numbers, allowing modular division to be transformed into multiplication.

7. Multiplication - Wikipedia

   en.wikipedia.org/wiki/Multiplication

   The inverse operation of multiplication is division. For example, since 4 multiplied by 3 equals 12, 12 divided by 3 equals 4. Indeed, multiplication by 3, followed by division by 3, yields the original number. The division of a number other than 0 by itself equals 1. Several mathematical concepts expand upon the fundamental idea of multiplication.

8. Fixed-point arithmetic - Wikipedia

   en.wikipedia.org/wiki/Fixed-point_arithmetic

   A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

9. Multiplication and repeated addition - Wikipedia

   en.wikipedia.org/wiki/Multiplication_and...

   The first challenge to the belief that multiplication is repeated addition appears when students start working with fractions. From the mathematical point of view, multiplication as repeated addition can be extended into fractions. For example, / / literally calls for “one and three-fourths of the five-sixths.”