WHAT IS 3/4 AS A DECIMAL

Question

i need help on how to convert 3/4 a a decimal for math class 7th grade math

Answer 1

Hi Haley!

 

So converting fractions to decimals can be an easy or difficult task depending on the fraction.

In this case your fraction 3/4 is telling you that out of 4 parts you have 3.

 

If you can picture a pizza pie that shows 100% of the pie. Now if you split that pie into 4 parts, each slice will be 25% since 100/4 = 25. 

Back to your fraction 3/4, if you have 3 parts of 4, you have 3 25% slices which is 3 * 25% = 75%.

 

Now that you have 3/4 as a percentage you simply have to covert the percent to a decimal. To do this you will just move the decimal 2 places to the left.

 

75.% --> .75

 

And that's your answer 3/4 as a decimal is .75

 

Hope this helps fractions to percents to decimal conversion a bit easier! I am available for online tutoring if you ever need more help! 

 

Best of Luck,

 

     Blyss

Answer 2

You will be required often to convert fractions to decimal and decimal to fractions.  So,

 

1). to convert a fraction to decimal, just divide the denominator into the numerator.

     4 divided into 3 gives a quotient of 0.75    (use long division)

 

2) to convert a non-repeating decimal to a fraction, use the decimal value as the numerator and 1 (with the correct number of decimal places) as the denominator:

     0.75     is  0.75/1.00      is    75/100       is 3/4                (be sure to reduce fractions)

 

Answer 3

Dear Haley,

    Another way would be to set up a proportion:

                          

                               3/4   =  X/100      Percents mean part of 100.  Then you cross multiply.

 

                                 300= 4X           Divide both sides of the equation by the number next to X.

 

                                 300/4 = 75

                    

                                   75/100 =75.%=     Move the decimal point two places to your left.

 

You can also take the fraction   3/4 and write it in highest terms to 75/100.  Remember you just multiply the bottom and top number of 3/4 by 25.    4*25= 100 and 3*25=75.   Then you can change 75/100  into a decimal. 

 

If you like my answer, please give me a thumbs up.

                                                                                     Susan C.