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2/3*1/6-1/12+2/5*2/3
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2/3*1/6-1/12+2/5*2/3 Related: Properties of Rational Numbers - 1, Mat...
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2/3*1/6-1/12+2/5*2/3 Related: Properties of Rational Numbers - 1, Mat...
Expression:
2/3 * 1/6 - 1/12 + 2/5 * 2/3
Solution:
Step 1: Simplify the multiplication
- 2/3 * 1/6 = 2/18 = 1/9
- 2/5 * 2/3 = 4/15
Step 2: Substitute the simplified values back into the expression
1/9 - 1/12 + 4/15
Step 3: Find a common denominator
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 36.
Step 4: Convert the fractions to have a common denominator
- 1/9 = 4/36
- 1/12 = 3/36
- 4/15 = 32/36
Step 5: Perform the addition and subtraction
4/36 - 3/36 + 32/36 = 33/36
Step 6: Simplify the final fraction
33/36 can be simplified to 11/12
Therefore, the simplified form of the expression 2/3 * 1/6 - 1/12 + 2/5 * 2/3 is 11/12.
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