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Solve the following: 1) 5 3/4 - 7(2 1/2 + 1 1/3); 2) Find three consecutive numbers that add up to 87.
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15 stepsHere are the solutions to your problems:
9)
Convert mixed numbers to improper fractions.
Solve the expression inside the parentheses.
Multiply the result by 7.
Perform the subtraction.
Find a common denominator, which is 12.
The answer can also be expressed as a mixed number:
The final answer is .
10)
Define the three consecutive numbers.
Let the first number be .
The second number is .
The third number is .Set up the equation based on their sum.
Solve for .
Find the three numbers.
First number: 28
Second number:
Third number:
The final answer is 28, 29, and 30.11)
Write the decimal as a fraction.
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor.
Divide by 2:
Divide by 2 again:
Divide by 2 again:
The final answer is .
14)
Perform division.
Perform multiplication.
Substitute these values back into the expression and perform subtraction and addition from left to right.
The final answer is .
15)
a) Determine the fraction that represents the cost of each bunch of vegetables.
Find the total number of ratio parts.
The ratio of carrots : spinach : onions is 2 : 4 : 3.
Total parts = .Determine the fraction of the total cost for each type of vegetable.
Fraction for carrots =
Fraction for spinach =
Fraction for onions =The fractions representing the cost of each bunch of vegetables are:
- Carrots:
- Spinach:
- Onions:
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