Which is bigger 5/8 or 4/6?

Question

Zoe Adams · Accepted Answer

#4/6# is bigger.

You can't compare fractions which have different denominators. Convert them both to equivalent fractions which have the same denominators - in this case use 24. #5/8 xx 3/3 = 15/24" and " 4/6 xx4/4 =16/24# Now we can see that #15/24 < 16/24# which means that #5/8 < 4/6# Another method is to use #1/2# as a reference point. Both #5/8 and 4/6# are bigger than #1/2#, but by how much?? #1/2 = 4/8 = 3/6# #5/8# is bigger than #1/2# by #1/8# #4/6# is bigger than #1/2# by #1/6# #1/8 < 1/6#, so #4/6# is bigger than #5/8#

Levi Adams · Answer

undefined To compare which is bigger between $ \frac{5}{8} $ and $ \frac{4}{6} $, we need to find a common denominator and then compare the numerators. Let's find the least common denominator (LCD), which is 24.

$ \frac{5}{8} $ can be converted to have a denominator of 24 by multiplying both the numerator and denominator by 3: $ \frac{5 \times 3}{8 \times 3} = \frac{15}{24} $.

$ \frac{4}{6} $ can be converted to have a denominator of 24 by multiplying both the numerator and denominator by 4: $ \frac{4 \times 4}{6 \times 4} = \frac{16}{24} $.

Now, we can see that $ \frac{16}{24} $ is bigger than $ \frac{15}{24} $. Therefore, $ \frac{4}{6} $ is bigger than $ \frac{5}{8} $.