Summary

1. Fraction as equal share: When a whole number of units is divided into equal parts and shared equally, a fraction resultsunits.

2. Fractional Units: When one whole basic unit is divided into equal parts, then each part is called a fractional unitresult.

3. Reading Fractions: In a fraction such as 5 6, 5 is called the numeratordenominatorand 6 is called the denominatornumerator.

4. Mixed fractions contain a whole number part and a fractional part.

5. Number line: Fractions can be shown on a number line. Every fraction has a associated with it on the number line.

6. Equivalent Fractions: When two or more fractions represent the same share or number, they are called equivalentmixed fractions.

7. Lowest terms: A fraction whose numerator and denominator have noone common factor other than 1 is said to be in lowest terms or in its simplest form.

8. Brahmagupta’s method for adding fractions: When adding fractions, convert them into equivalent fractions with the same fractional unit (i.e., the same denominator), and then add the number of fractional units in each fraction to obtain the sum.

9. This is accomplished by addingsubtracting the numerators while keeping the same denominator.

10. Brahmagupta’s method for subtracting fractions: When subtracting fractions, convert them into equivalent fractions with the same fractional unit (i.e., the same denominator), and then subtract the number of units.

10. This is accomplished by subtractingadding the numerators while keeping the same denominator.