Home > Prealgebra > Fractions with Different Denominators

How do you add #(\frac { 2} { 5} ) ^ { 3} + \frac { 1} { 25}#?

Answer 1

Autumn Arnold

#color(red)(13/125)#

#(2/5)^3+1/25#

#2^3/5^3+1/25#

#8/125+1/25# [Since Lowest Common Multiple=125]

#(8xx1)/(125xx1)+(1xx5)/(25xx5)#

#8/125+5/125#

#color(red)(13/125)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Roman Alvarez

To add ((\frac {2} {5})^3 + \frac {1} {25}), first, calculate ((\frac {2} {5})^3), which is ((\frac {2} {5}) \times (\frac {2} {5}) \times (\frac {2} {5}) = \frac {8} {125}). Then, add (\frac {8} {125} + \frac {1} {25}) to get (\frac {8} {125} + \frac {5} {125} = \frac {8 + 5} {125} = \frac {13} {125}). Therefore, ((\frac {2} {5})^3 + \frac {1} {25} = \frac {13} {125}).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.