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Popular Pre Algebra >

(138/140 × 60)+40

  • Pre Algebra
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Solution

(140138​×60)+40

Solution

9971​
+1
Decimal
99.14285…
Solution steps
(140138​⋅60)+40
140138​=7069​
Cancel the common factor: 2
7069​
=7069​⋅60+40
Follow the PEMDAS order of operations
Multiply and divide (left to right) 7069​⋅60:7414​
7069​⋅60
Convert element to fraction: 60=160​=7069​⋅160​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=70⋅169⋅60​
Cancel 70⋅169⋅60​:7414​
70⋅169⋅60​
Multiply the numbers: 70⋅1=70=7069⋅60​
Factor the number: 60=10⋅6=7069⋅10⋅6​
Factor the number: 70=10⋅7=10⋅769⋅10⋅6​
Cancel the common factor: 10=769⋅6​
Multiply the numbers: 69⋅6=414=7414​
=7414​
=7414​+40
Add and subtract (left to right) 7414​+40:7694​
7414​+40
7414​+40=7694​
7414​+40
Convert element to fraction: 40=740⋅7​=740⋅7​+7414​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=740⋅7+414​
40⋅7+414=694
40⋅7+414
Multiply the numbers: 40⋅7=280=280+414
Add the numbers: 280+414=694=694
=7694​
=7694​
=7694​
Convert improper fractions to mixed numbers:7694​=9971​
7694​=99Remainder1
7694​
Write the problem in long division format7∣694​​
Divide 69by 7to get 9
Divide 69by 7to get 997∣694​​
Multiply the quotient digit (9)by the divisor 797∣694​63​​
Subtract 63from 6997∣694​63​6​
Bring down the next number of the dividend97∣694​63​64​
97∣694​63​64​
Divide 64by 7to get 9
Divide 64by 7to get 9997∣694​63​64​
Multiply the quotient digit (9)by the divisor 7997∣694​63​6463​​
Subtract 63from 64997∣694​63​6463​1​
997∣694​63​6463​1​
The solution for Long Division of 7694​is 99with remainder of 199Remainder1
Convert to mixed number: QuotientDivisorRemainder​7694​=9971​
=9971​
=9971​

Popular Examples

((32-16-8))/(-8)(100-1)\div 55^2-12^2-18(1)+362(6)^2+2

Frequently Asked Questions (FAQ)

  • What is (138/140 × 60)+40 ?

    The solution to (138/140 × 60)+40 is 99 1/7

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