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Popular Pre Algebra >

5^3-4^3+3/4

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Solution

53−43+43​

Solution

6143​
+1
Decimal
61.75
Solution steps
53−43+43​
Follow the PEMDAS order of operations
Calculate exponents 53:125
53
53=125=125
=125−43+43​
Calculate exponents 43:64
43
43=64=64
=125−64+43​
Add and subtract (left to right) 125−64+43​:4247​
125−64+43​
125−64=61=61+43​
61+43​=4247​
61+43​
Convert element to fraction: 61=461⋅4​=461⋅4​+43​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=461⋅4+3​
61⋅4+3=247
61⋅4+3
Multiply the numbers: 61⋅4=244=244+3
Add the numbers: 244+3=247=247
=4247​
=4247​
=4247​
Convert improper fractions to mixed numbers:4247​=6143​
4247​=61Remainder3
4247​
Write the problem in long division format4∣247​​
Divide 24by 4to get 6
Divide 24by 4to get 664∣247​​
Multiply the quotient digit (6)by the divisor 464∣247​24​​
Subtract 24from 2464∣247​24​0​
Bring down the next number of the dividend64∣247​24​07​
64∣247​24​07​
Divide 7by 4to get 1
Divide 7by 4to get 1614∣247​24​07​
Multiply the quotient digit (1)by the divisor 4614∣247​24​074​​
Subtract 4from 7614∣247​24​074​3​
614∣247​24​074​3​
The solution for Long Division of 4247​is 61with remainder of 361Remainder3
Convert to mixed number: QuotientDivisorRemainder​4247​=6143​
=6143​
=6143​

Popular Examples

7+3(8-5)-4\div 4(-2)16\div 2× 41\div 3× 27820000\div 10^31+2*0

Frequently Asked Questions (FAQ)

  • What is 5^3-4^3+3/4 ?

    The solution to 5^3-4^3+3/4 is 61 3/4

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