Question

maranda and rory are multiplying 4 1/3 by different fractions the table shows there work

maranda / rory why is rory's product less than maranda's
4 1/3 x 4 1/3 x 1/3
3/3 =4 1/3 1 4/9

Answer 1

Fractions are numbers represented by the quotients of two integers

Rory's product is less than Maranda's because 13/9 is less than 13/3

How to determine why Rory has a lesser product

The expressions are given as:

Maranda: 4 1/3 * 4 1/3 * 1/3

Rory: 4 1/3 * 1 4/9

For Maranda, we have:

$M = 4\frac 13 * 4\frac 13$

Rewrite the fraction

$M = 4\frac 13 * \frac{13}3$

For Rory, we have:

$R = 4\frac 13 * 1\frac 49$

Rewrite the fraction

$R = 4\frac 13 * \frac {13}9$

When Maranda and Rory's expressions are compared, we have:

13/9 is less than 13/3

Hence, Rory's product is less than Maranda's because 13/9 is less than 13/3

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