Question

State the properties illustrated in each of the following examples:

a) −5/7
+ 4
/9
= 17/63

b) 1/
4
x
3
/5
-
1
/4
x
7
/8
=1
/4
x ( 3
/5
-
7
/8
)​

Answer 1

Answer:

please write the question properly.

Answer 2

In part (a) - additive property and in part (b) - distributive property.

Step-by-step explanation:

Part a) $\frac{-5}{7} + \frac{4}{9} = \frac{-17}{63}$

The addition is carried out on the left-hand side by taking LCM to obtain the result on right-hand side.

= $\frac{-45 + 28}{63}$

= $\frac{-17}{63}$.

Hence, it is the additive property of fractions.

Part b) $\frac{1}{4}\times \frac{3}{5} - \frac{1}{4}\times \frac{7}{8} = \frac{1}{4}\times (\frac{3}{5} -\frac{7}{8})$

As we can see, on the right-hand side, the term $\frac{1}{4}$ has been taken common. This property is called the distributive property of fractions.