Question

verify and name the property
$\frac{3}{5} \times ( \frac{ - 4}{7} \times \frac{ - 8}{9} ) = ( \frac{3}{5} \times \frac{ - 4}{7} ) \times \frac{ - 8}{9}$
​

Answer 1

Step-by-step explanation:

A fraction represents a part of whole number. It consists of a numerator and denominator where numerator represents the number of equal parts and denominator represents the total amount that make up a whole. For Example \[\frac{5}{6}\] is a fraction where 5 is numerator and 6 is denominator. Fractions can be added, subtracted, multiplied and divided like all other numbers. There are many fraction problems, some are simple and some are difficult. To ease your complex fraction problem, Byju’s is here with a simple and easy Fraction Calculator.

This Calculator simply handles operations like addition, subtraction, multiplication and division of different fractions and provides you an answer in a reduced or mixed number within seconds.

Addition:

By using algebraic formula for addition of fractions, this calculator will add fractions and gets you an answer in a reduced fraction form right on your screen.

\[\frac{a}{b}+\frac{c}{d}=\frac{(ad\;+\;bc)}{bd}\]

For example –

\[\frac{4}{8}+\frac{2}{4}=\frac{(4\times4+2\times8)}{8\times4} = \frac{32}{32}\]

By reducing, we get \[\frac{1}{1}\]

Subtraction:

Here is a formula for subtracting fractions,

\[\frac{a}{b}- \frac{c}{d}=\frac{ad-bc}{bd}\]

For example –

\[\frac{2}{8}-\frac{2}{4}=\frac{(2\times4-2\times8)}{8\times4} = \frac{-8}{32}\]

By reducing, we get \[\frac{-1}{4}\]

Multiplication:

Here is a formula for multiplying fractions,

\[\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}\]

For example –

\[\frac{4}{8}\times\frac{2}{4}=\frac{(4\times2)}{8\times4} = \frac{8}{32}\]

By reducing, we get \[\frac{1}{4}\]

Division:

Here is a formula for dividing fractions,

\[\frac{a}{b}\div \frac{c}{d}=\frac{ad}{bc}\] For example – \[\frac{4}{6}\div \frac{6}{8}=\frac{(4\times8)}{6\times6} = \frac{32}{36}\] By reducing, we get \[\frac{8}{9}\