Question

Maria wants to find the product of 5 3/20 multiplied by 3 4/25 using decimals instead of fractions how can she rewrite the problem using decimals

Answer 1

The decimal for 5 3/20 is 5.15
The decimal for 3 4/25 is 3.16

5.15 times 3.16

Answer 2

`5.15* 3.16=16.2740`

Explanation:

Maria wants to find the product of
`5(3)/(20)` multiplied by
`3(4)/(25)`

First we change mixed fraction to fraction and then change into decimal.

#First fraction:

• Change mixed to fraction

`5(3)/(20)\Rightarrow (103)/(20)`

• Change fraction to decimal

`(103)/(20)\Rightarrow (103* 5)/(20* 5)=5.15`

#Secondfraction:

• Change mixed to fraction

`3(4)/(25)\Rightarrow (79)/(25)`

• Change fraction to decimal

`(79)/(25)\Rightarrow (79* 4)/(25* 4)=3.16`

Now we find the product of both decimal

`\Rightarrow 5.15* 3.16`

Using calculator product of 515 and 316 = 162740

Both number has decimal digits two

So, total number of decimal digits is 4

In multiply result write decimal before 4 digits from right.

Therefore,

`5.15* 3.16=16.2740`