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liraira [26]
3 years ago
6

What is the quotient of 2 1/4 and 5/8

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0
If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5

The correct result would be 3 3/5.
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(4/3, 7/3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
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  • Solving systems of equations of using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

7x - y = 7

x + 2y = 6

<u>Step 2: Rewrite Systems</u>

Equation: x + 2y = 6

  1. [Subtraction Property of Equality] Subtract 2y on both sides:                    x = 6 - 2y

<u>Step 3: Redefine Systems</u>

7x - y = 7

x = 6 - 2y

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                7(6 - 2y) - y = 7
  2. Distribute 7:                                                                                                    42 - 14y - y = 7
  3. Combine like terms:                                                                                       42 - 15y = 7
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    -15y = -35
  5. [Division Property of Equality] Divide -15 on both sides:                             y = 7/3

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x + 2y = 6
  2. Substitute in <em>y</em>:                                                                                                x + 2(7/3) = 6
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  4. [Subtraction Property of Equality] Subtract 14/3 on both sides:                  x = 4/3
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