Question #91d71

2 Answers
Dec 19, 2017

#2/4#

Explanation:

There could be many answers to this, but one of them is #2/4#. Other answers could include #3/6#, #4/8#, or #5/10#. The way that you find equivalent fractions can be done one of two ways. You can either take the original fraction and put it into simplest form or make the fraction a value that could be taken into simplest form.

For example, your fraction, #1/2# is already in simplest form. Simplest form is when the numerator and the denominator cannot be decreased any lower. #2/4# can be taken into simplest form of #1/2#. To find simplest form, you must look at the denominator and the numerator of your fraction and see if the have any common factors.The numbers #2# and #4# have a common multiple of #2#. You would then divide both the numerator and the denominator by the number, in this case #2#. This would give you #1/2#.

In the case that you stated above, #1/2# is already in simplest form. Therefore, you cannot take it down. So, to find an equivalent fraction you will have to do the opposite of what we did above. You would multiply the numerator and the denominator by a number(it does not have to be a common factor. So, you could get anything from #2/4# to #250/500# and beyond.

I hoped this helped :) Leave a comment if you need help with anything else.

Dec 19, 2017

#1/2 = 2/4=3/6 =4/8 =5/10 =11/22 = 15/30= 31/62= 50/100 ...#

Explanation:

Equivalent fractions are those which have the same value, but look different.

There are infinitely many fractions equivalent to #1/2#

Remember that if you multiply any number by #color(red)(1)# it does not change in value,

#color(red)(1)# can be written in many ways:

#color(red)(1 = 2/2=3/3 = 4/5 = 13/13 = 25/25 = 36/36) ..# and so on.

To form an equivalent fraction, multiply #1/2# by #1#

#1/2 xxcolor(red)(2/2) = 2/4" or "1/2 xxcolor(red)(3/3) = 3/6" or "1/2 xxcolor(red)(4/4) = 4/8#

#1/2 = 2/4=3/6 =4/8 =5/10 =11/22 = 15/30= 31/62= 50/100 ...#

Each of these fractions simplifies to #1/2#