Question

1.Write the steps to find the difference of two like fractions.
2. Find the equivalent fraction of.
a) 2/9 with denominator 63
b) 15/35 with denominator 7.
3. Give reasons for the following:
a) A square can be thought of as special rhombus
b) A rectangle can be thought of as a special parallelogram.

Answer 1

Answer:

In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions. To find the difference between like fractions we subtract the smaller numerator from the greater numerator.

Answer 2

1) Steps to find difference between two like numbers :-

For better understanding, let's assume we need to find difference between 3/5 and 1/5

Step 1: Take L.C.M. of the denominators (5 in this case)

Since like fraction have same denominators, the L.C.M. would always be the same number as denominator.

Step 2: Subtract the smaller numerator from larger numerator ($\frac{3 - 1}{5}$ = $\frac{2}{5}$ in this case)

This is the method to find difference between two like fractions.

2) Equivalent fractions:

a) To get 63 as the denominator, we need to multiply 2/9 with a number which when multiplied with 9 gives 63 as product.

To get such number, we can divide 63 by 9 i.e., 63 ÷ 9 = 7

⇒ $\frac{2}{9}$ × $\frac{7}{7}$ = $\frac{14}{63}$, required equivalent fraction

b) To get 7 as denominator, we need to multiply 15/35 with a number which when multiplied with 35 gives 7 as product

⇒ $\frac{15}{35}$ × $\frac{1/5}{1/5}$ = $\frac{3}{7}$, required equivalent fraction

3) Reasons:

a) A square can be thought of as special rhombus because all the sides of a square and rhombus are equal. The only difference is that all interior angles of a square are of 90°.

b) A rectangle can be thought of as special parallelogram because opposite sides are equal as well as parallel and opposite angles are equal in a rectangle and  parallelogram. The only difference is that each interior angle in a rectangle is of 90°.