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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

Respuesta :

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

5.15 times 3.16
isyllus

Answer:

[tex] 5.15\times 3.16=16.2740[/tex]

Step-by-step explanation:

Maria wants to find the product of [tex]5\frac{3}{20}[/tex] multiplied by[tex]3\frac{4}{25}[/tex]

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

#First fraction:  

  • Change mixed to fraction

[tex]5\frac{3}{20}\Rightarrow \dfrac{103}{20}[/tex]

  • Change fraction to decimal

[tex]\dfrac{103}{20}\Rightarrow \dfrac{103\times 5}{20\times 5}=5.15[/tex]

#Secondfraction:  

  • Change mixed to fraction

[tex]3\frac{4}{25}\Rightarrow \dfrac{79}{25}[/tex]

  • Change fraction to decimal

[tex]\dfrac{79}{25}\Rightarrow \dfrac{79\times 4}{25\times 4}=3.16[/tex]

Now we find the product of both decimal

[tex]\Rightarrow 5.15\times 3.16[/tex]

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,

[tex] 5.15\times 3.16=16.2740[/tex]

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