Chapter 4.4, Problem 64E

To determine

To findthe greater fraction in which period vice-president become president

Answer to Problem 64E

In period 1901-2000.

Explanation of Solution

Given information:

In period 1800-1900, fraction of vice-president later became president is $\frac{6}{23}$ .

In period 1901-2000, fraction of vice-president later became president is $\frac{7}{21}$ .

Formula Used: Factorisation

Calculation:

Convert these fractions to equivalent fractions with common denominator in order to compare them more easily.

LCM of 23 and 21 is 483

So ,denominator of both fractions 483.

  $\frac{6\times 21}{23\times 21}=\frac{126}{483}$

  $\frac{7\times 23}{21\times 23}=\frac{161}{483}$

  $\frac{161}{483}>\frac{126}{483}$

So, $\frac{7}{21}$ is greater than $\frac{6}{23}$ .