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Evaluate: (a) 2.4 (0.123 - 0.095) 0.009 / (0.015 * (0.042 + 0.030)); (b) Simplify: 1 3/4 + [5 - 2 3/4 / 3/5] - [ (3-1)/5 of 4 1/2 ]
Mathematics
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2 partsStep-by-step solution
12 stepsPart a· 5 steps
Evaluate
Simplify the expressions inside the parentheses.
Substitute these values back into the expression.
Calculate the numerator.
Calculate the denominator.
Divide the numerator by the denominator.
The evaluated value is .
Part b
Simplify
Convert all mixed numbers to improper fractions and simplify the first bracket in the third term.
The expression becomes:
Perform the division inside the first square bracket.
The expression becomes:
Perform the subtraction inside the first square bracket.
The expression becomes:
Perform the "of" (multiplication) operation inside the second square bracket.
The expression becomes:
Find a common denominator for 4, 12, and 5, which is 60.
Convert the fractions.
The expression becomes:
Perform the addition and subtraction from left to right.
Simplify the fraction.
The simplified value is .
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