How do you write #1 3/8# as a decimal?

3 Answers
Aug 5, 2017

Answer:

#1.375#

Explanation:

First, we have to convert it to a fractional number.

=> #1 3/8#

=> #((1*8)+3)/8#

=>#(8+3)/8#

=> #11/8#

Now we can easily convert it to a decimal by dividing by #8#

The answer in decimal is #1.375#

Aug 5, 2017

Answer:

#1 3/8 = 1.375#

Explanation:

Decimal notation is a way of writing fractions which have their denominators as powers of #10#

Change #1 3/8# into a fraction with a power of #10# in the denominator.

It helps to know that #8 xx 125 = 1000#

#1 + color(blue)(3/8xx125/125) = 1 + color(blue)(375/1000)#

The whole number is #1# and the fraction part is #375/1000#

#1 3/8 = 1.375#

Answer:

See below

Explanation:

To turn a fraction to a decimal you need to know some rules.
#1 3/8# must be turned into an improper fraction.

To do this you need to:

#1# get the denominator (bottom number)
#2# multiply it by your whole number and
#3# add the numerator (top number) .

So step #1and2#

#8xx1# will give you #8#

Step #3#
#8+3# will give you #11#

The next rule is to keep your denominator the same as it is on your given fraction which is #8# and on top for the numerator you need to have your total answer which is #11#

Therefore:
#11/8# is your fraction that needs to be turned into a decimal.

To do this you simply d1vide 11 by 8

#11/8=1.375#

Hope this gave you an idea of how to turn any fraction into a decimal. You can do this with any fraction.
E.g. #4/8= 0.5#
#9/45=0.2#
#7/49=0.143#