How do you subtract #\frac { 27} { 13} - \frac { 1} { 4}#?

Answer 1

Find a common denominator multiply by the factors to make the two fractions equal then subtract them and divide out any resulting common factors.

Since 13 is prime, 13 and 4 do not share any common factors. Rather, the product of 13 and 4 will serve as the common denominator.

# 13 xx 4 = 52 #
# ( 27 xx 4) / (13 xx 4) - ( 1 xx 13 )/( 4 xx 13)# this gives
# 108 /52 - 13/52 # Subtracting
# 95 /52 # There are no common factors between 95 and 52.

The incorrect fraction is converted to a mixed number by dividing by 52.

# 95/52 = 1 43/52 #
Sign up to view the whole answer

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

Sign up with email
Answer 2

#27/13-1/4=95/52#

To find:

#27/13-1/4#
Multiples of 13 are #13,26,39,52,65# Multiples of 4 are #4,8,12,16,20,24,28,32,36,40,44,48,52,56,60#
The common multiples of 13 and 4 are #52,...#

The least common multiple of 13 and 4 is 52

#27/13=(27xx4)/(13xx4)=108/52#
#1/4=(1xx13)/(4xx13)=13/52#

Hence,

#27/13-1/4=108/52-13/52#

The denominator is common.

#27/13-1/4=(108-13)/52#
#27/13-1/4=95/52#
Sign up to view the whole answer

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

Sign up with email
Answer 3

To subtract (\frac{27}{13} - \frac{1}{4}), you need to find a common denominator, which in this case is 52. Then, you can rewrite the fractions with the common denominator:

(\frac{27}{13} = \frac{27 \times 4}{13 \times 4} = \frac{108}{52})

(\frac{1}{4} = \frac{1 \times 13}{4 \times 13} = \frac{13}{52})

Now, you can subtract the fractions:

(\frac{108}{52} - \frac{13}{52} = \frac{108 - 13}{52} = \frac{95}{52})

So, (\frac{27}{13} - \frac{1}{4} = \frac{95}{52}).

Sign up to view the whole answer

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

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7