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Chapter 8: Working With Fractions

    Multiplication of Fractions

    Division of Fractions

    Some Problems Involving Fractions

    Fractional Relations

    Summary

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Chapter 8: Working With Fractions > Summary

Summary

Brahmagupta’s formula for multiplication of fractions: ab × cd =

When multiplying fractions, if the numerators and denominators have some common factors, we can cancel them first before multiplying the numerators and denominators.

In multiplication when one of the numbers being multiplied is between 0 and 1, the product is than the other number. If one of the numbers being multiplied is greater than 1, then the product is than the other number.

The reciprocal of a fraction ab is . When we multiply a fraction by its reciprocal, the product is .

Brahmagupta’s formula for division of fractions:

ab ÷ cd = ab × dc = a×db×c

In division, when the divisor is between 0 and 1, the quotient is than the dividend. When the divisor is greater than , the quotient is less than the dividend.