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Popular Pre Algebra >

48-2/3-1/8

  • Pre Algebra
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Solution

48−32​−81​

Solution

47245​
+1
Decimal
47.20833…
Solution steps
48−32​−81​
Follow the PEMDAS order of operations
Add and subtract (left to right)
48−32​=3142​
48−32​
Convert element to fraction: 48=348⋅3​=348⋅3​−32​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=348⋅3−2​
48⋅3−2=142
48⋅3−2
Multiply the numbers: 48⋅3=144=144−2
Subtract the numbers: 144−2=142=142
=3142​
=3142​−81​
3142​−81​=241133​
3142​−81​
Least Common Multiplier of 3,8:24
3,8
Least Common Multiplier (LCM)
Prime factorization of 3:3
3
3 is a prime number, therefore no factorization is possible=3
Prime factorization of 8:2⋅2⋅2
8
8divides by 28=4⋅2=2⋅4
4divides by 24=2⋅2=2⋅2⋅2
Multiply each factor the greatest number of times it occurs in either 3 or 8=3⋅2⋅2⋅2
Multiply the numbers: 3⋅2⋅2⋅2=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 3142​:multiply the denominator and numerator by 83142​=3⋅8142⋅8​=241136​
For 81​:multiply the denominator and numerator by 381​=8⋅31⋅3​=243​
=241136​−243​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=241136−3​
Subtract the numbers: 1136−3=1133=241133​
=241133​
Convert improper fractions to mixed numbers:241133​=47245​
241133​=47Remainder5
241133​
Write the problem in long division format24∣1133​​
Divide 113by 24to get 4
Divide 113by 24to get 4424∣1133​​
Multiply the quotient digit (4)by the divisor 24424∣1133​96​​
Subtract 96from 113424∣1133​96​17​
Bring down the next number of the dividend424∣1133​96​173​
424∣1133​96​173​
Divide 173by 24to get 7
Divide 173by 24to get 74724∣1133​96​173​
Multiply the quotient digit (7)by the divisor 244724∣1133​96​173168​​
Subtract 168from 1734724∣1133​96​173168​5​
4724∣1133​96​173168​5​
The solution for Long Division of 241133​is 47with remainder of 547Remainder5
Convert to mixed number: QuotientDivisorRemainder​241133​=47245​
=47245​
=47245​

Popular Examples

2*2^2-47/10-8/10+1-3/101^2+(-5^2)180-50-904+(-2)^3

Frequently Asked Questions (FAQ)

  • What is 48-2/3-1/8 ?

    The solution to 48-2/3-1/8 is 47 5/24

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