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Terminology used when working with fractions denominator: The denominator is the number on the bottom of a fraction; for example, 4 is the denominator in 3/4. Compare with numerator. dividend: The dividend is the number to be divided in a division problem. In the example 3/2 ÷ 4, 3/2 is the dividend. divisor: The divisor is the number by which another number is to be divided in a division problem. In the example 3/2 ÷ 4, 4 is the divisor. fraction: Fractions
are rational numbers whose value can be expressed as a ratio of any 2
whole numbers; say a and b, improper fractions:
We
usually call fractions like To see a model example of improper fractions click here. inverse: The inverse of the fraction a/b is the fraction b/a. So, for example, the inverse of 2/5 is 5/2 and the inverse of one and a half (3/2) is 2/3. Multiplying a number by its inverse gives 1. Zero does not have an inverse. A more correct term for inverse is multiplicative inverse. See also reciprocal. mixed numbers: Because improper fractions represent more parts than the whole they can also be expressed as mixed numbers, that is a whole number and a fraction.
We can see below that the improper fractions,
If you get confused about what a mixed number represents, think about how we say its value in English.
To see a model example of mixed numbers click here. numerator: The numerator is the number on top of a fraction; for example, 3 is the numerator in 3/4. Compare with denominator. proper fractions:
quotient: The quotient is the result of division. In the example 1 ÷ 1/3 = 3, 3 is the quotient. rational number: A
rational number is a number whose value can be expressed as the ratio
of any 2 integers; say a and b, Further
information: A number such as reciprocal: The reciprocal of a fraction a/b is the fraction b/a. So, for example, the reciprocal of 2/5 is 5/2 and the reciprocal of one and a half (3/2) is 2/3. Multiplying a number by its reciprocal gives 1. Zero does not have a reciprocal. A model example for mixed numbers and improper fractions
Each square has been divided into 4 equal parts to make up a complete square. So we can say 4 parts = 1 whole. If we look at the shaded areas, we have 2 complete squares and one quarter of a square. What is the improper fraction which describes the model? What is a mixed number which describes this model? You
can see that realising that |
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