Q2 of 21 Page 38

Find the general principle of each of the patterns below and explain it using algebra.

On observing the pattern we get general formula as

To prove this algebraically,

We know that so,

Hence, proved!

From a fraction, a new fraction is formed by adding the same natural number to both the numerator and the denominator.

i) In what kind of fractions does this give a larger fraction?

ii) In what kind of fractions does this give a smaller fraction?

Find the general principle of each of the patterns below and explain it using algebra.

Questions · 21

2. Fractions

1 2 3 1 2 3 4 1 2 3 4 1 2 3 4 1 2 2 2 2 3