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Popular Pre Algebra >

simplify 121/8-71/3

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Solution

simplify 8121​−371​

Solution

−24205​
+1
Decimal
−8.54166…
Solution steps
8121​−371​
Least Common Multiplier of 8,3:24
8,3
Least Common Multiplier (LCM)
Prime factorization of 8:2⋅2⋅2
8
8divides by 28=4⋅2=2⋅4
4divides by 24=2⋅2=2⋅2⋅2
Prime factorization of 3:3
3
3 is a prime number, therefore no factorization is possible=3
Multiply each factor the greatest number of times it occurs in either 8 or 3=2⋅2⋅2⋅3
Multiply the numbers: 2⋅2⋅2⋅3=24=24
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM 24
For 8121​:multiply the denominator and numerator by 38121​=8⋅3121⋅3​=24363​
For 371​:multiply the denominator and numerator by 8371​=3⋅871⋅8​=24568​
=24363​−24568​
Apply the fraction rule: ca​−cb​=ca−b​=24363−568​
363−568=−205
363−568
To subtract a larger number from a smaller one switch the order of the numbers. Negate the result by attaching a minus sign
568−363=205
568−363
Line up the numbers−​53​66​83​
Subtract each column of digits, starting from the right and working left
If the digit being subtracted is larger than the digit above it, 'borrow' a digit from the next column to the left.
In the bolded column, subtract the second digit from the first: 8−3=5​​​5​−​53​66​83​​
In the bolded column, subtract the second digit from the first: 6−6=0​​0​5​−​53​66​83​​
In the bolded column, subtract the second digit from the first: 5−3=2​2​0​5​−​53​66​83​​
=205
Place a minus sign in front of the answer−205
=24−205​
Apply the fraction rule: b−a​=−ba​=−24205​

Popular Examples

9-(-2)(7)2(-3)^2+4(-3)-6(-26)+(-18)-673^4+2^47+12/24-6/8

Frequently Asked Questions (FAQ)

  • What is 121/8-71/3 ?

    The solution to 121/8-71/3 is -205/24

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