How do you simplify #2 1/10+(1 2/7+ 4 9/10)#?

Answer 1

#=580/70#

The given expression with mixed numbers is simplified as

established by first converting mixed numbers into fractions.

combining the fractions.

To convert mixed numbers into fractions, use:

#color(red)(a c/d=(a xx d + c)/d)#

Converting the fractions from mixed numbers:

#2 1/10 =color(red)((2 xx 10 + 1 )/10=21/10)#
#1 2/7 =color(red)((1 xx 7 + 2 )/7= 9/7 )#
#4 9/10 = color(red)((4 xx 10 + 9)/10= 49/10) # #" "#
Adding the fractions is determined by computing the common denominator #G.C.D(7 , 10)#

Finding the greatest common factors after calculating the prime factorization yields the common denominator.

# 10=2 xx 5 xx 1 # # 7 = 7 xx 1 #
Denominator is: #G.C.D(7 , 10) = 2 xx 5 xx 7 xx 1 =70#
#2 1/10+(1 2/7+4 9/10)#
#= color(red)(21/10) + color(red)(9/7) + color(red)(49/10)#
#=(21 xx 7)/70 + (9 xx 10)/70 + (49 xx 7)/70#
#=(147 + 90 + 343)/70#
#=580/70#
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

To simplify 2 1/10 + (1 2/7 + 4 9/10), first add the fractions within the parentheses:

1 2/7 + 4 9/10 = (1 + 4) + (2/7 + 9/10) = 5 + (20/70 + 63/70) = 5 + 83/70 = 5 83/70

Then, add the whole numbers:

2 + 5 83/70 = 2 + 5 + 83/70 = 7 + 83/70

So, the simplified expression is 7 83/70.

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