Home > Prealgebra > Equivalent Fractions and Simplifying

How do you express #3/4, 7/16,# and #5/8# with the #LCD#?

Answer 1

Gianna Caruso

#12/16#, #7/16# and #10/16#

As among the three denominators #4#, #16# and #8#, #16# is divisible by other two,

#16# is the LCD. Further as #16=4xx4=8xx2#

#3/4#, #7/16# and #5/8# can be written as

#(3xx4)/(4xx4)#, #7/16# and #(5xx2)/(8xx2)# i.e.

#12/16#, #7/16# and #10/16#

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

Answer 2

Riley Anderson

To express ( \frac{3}{4} ), ( \frac{7}{16} ), and ( \frac{5}{8} ) with the least common denominator (LCD), follow these steps:

Identify the denominators: 4, 16, and 8.
Find the least common multiple (LCM) of the denominators: ( \text{LCM}(4, 16, 8) = 16 )
Rewrite each fraction with the LCD:
- ( \frac{3}{4} ) remains the same.
- ( \frac{7}{16} ) becomes ( \frac{7 \times 1}{16 \times 1} = \frac{7}{16} ).
- ( \frac{5}{8} ) becomes ( \frac{5 \times 2}{8 \times 2} = \frac{10}{16} ).

So, the fractions expressed with the LCD are ( \frac{3}{4} ), ( \frac{7}{16} ), and ( \frac{10}{16} ).

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.