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Popular Pre Algebra >

400-1/5-1/4-9/30

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Solution

400−51​−41​−309​

Solution

39941​
+1
Decimal
399.25
Solution steps
400−51​−41​−309​
309​=103​
Cancel the common factor: 3
103​
=400−51​−41​−103​
Follow the PEMDAS order of operations
Add and subtract (left to right) 400−51​−41​−103​:41597​
400−51​−41​−103​
400−51​=51999​
400−51​
Convert element to fraction: 400=5400⋅5​=5400⋅5​−51​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=5400⋅5−1​
400⋅5−1=1999
400⋅5−1
Multiply the numbers: 400⋅5=2000=2000−1
Subtract the numbers: 2000−1=1999=1999
=51999​
=51999​−41​−103​
51999​−41​=207991​
51999​−41​
Least Common Multiplier of 5,4:20
5,4
Least Common Multiplier (LCM)
Prime factorization of 5:5
5
5 is a prime number, therefore no factorization is possible=5
Prime factorization of 4:2⋅2
4
4divides by 24=2⋅2=2⋅2
Multiply each factor the greatest number of times it occurs in either 5 or 4=5⋅2⋅2
Multiply the numbers: 5⋅2⋅2=20=20
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 20
For 51999​:multiply the denominator and numerator by 451999​=5⋅41999⋅4​=207996​
For 41​:multiply the denominator and numerator by 541​=4⋅51⋅5​=205​
=207996​−205​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=207996−5​
Subtract the numbers: 7996−5=7991=207991​
=207991​−103​
207991​−103​=41597​
207991​−103​
Least Common Multiplier of 20,10:20
20,10
Least Common Multiplier (LCM)
Prime factorization of 20:2⋅2⋅5
20
20divides by 220=10⋅2=2⋅10
10divides by 210=5⋅2=2⋅2⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅5
Prime factorization of 10:2⋅5
10
10divides by 210=5⋅2=2⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅5
Multiply each factor the greatest number of times it occurs in either 20 or 10=2⋅2⋅5
Multiply the numbers: 2⋅2⋅5=20=20
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 20
For 103​:multiply the denominator and numerator by 2103​=10⋅23⋅2​=206​
=207991​−206​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=207991−6​
Subtract the numbers: 7991−6=7985=207985​
Cancel the common factor: 5=41597​
=41597​
=41597​
Convert improper fractions to mixed numbers:41597​=39941​
41597​=399Remainder1
41597​
Write the problem in long division format4∣1597​​
Divide 15by 4to get 3
Divide 15by 4to get 334∣1597​​
Multiply the quotient digit (3)by the divisor 434∣1597​12​​
Subtract 12from 1534∣1597​12​3​
Bring down the next number of the dividend34∣1597​12​39​
34∣1597​12​39​
Divide 39by 4to get 9
Divide 39by 4to get 9394∣1597​12​39​
Multiply the quotient digit (9)by the divisor 4394∣1597​12​3936​​
Subtract 36from 39394∣1597​12​3936​3​
Bring down the next number of the dividend394∣1597​12​3936​37​
394∣1597​12​3936​37​
Divide 37by 4to get 9
Divide 37by 4to get 93994∣1597​12​3936​37​
Multiply the quotient digit (9)by the divisor 43994∣1597​12​3936​3736​​
Subtract 36from 373994∣1597​12​3936​3736​1​
3994∣1597​12​3936​3736​1​
The solution for Long Division of 41597​is 399with remainder of 1399Remainder1
Convert to mixed number: QuotientDivisorRemainder​41597​=39941​
=39941​
=39941​

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6^2-16^2+46-(-4)(-2)(+1)2/3 × 22/7 × 7^34-9*(6-7)

Frequently Asked Questions (FAQ)

  • What is 400-1/5-1/4-9/30 ?

    The solution to 400-1/5-1/4-9/30 is 399 1/4

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