Math Problem Statement

which are equivalent ratios to 4:15

Solution

To find equivalent ratios to 4:154:15, you can multiply or divide both terms of the ratio by the same number. Here are some examples of equivalent ratios:

  1. Multiply both by 2:
    4×2:15×2=8:304 \times 2 : 15 \times 2 = 8 : 30

  2. Multiply both by 3:
    4×3:15×3=12:454 \times 3 : 15 \times 3 = 12 : 45

  3. Multiply both by 4:
    4×4:15×4=16:604 \times 4 : 15 \times 4 = 16 : 60

  4. Divide both by 2 (if it were possible to simplify, but in this case, it's not because 15 isn't divisible by 2).

  5. Multiply both by 5:
    4×5:15×5=20:754 \times 5 : 15 \times 5 = 20 : 75

Therefore, the equivalent ratios are:

  • 8:308:30
  • 12:4512:45
  • 16:6016:60
  • 20:7520:75

Would you like further details on this process, or do you have any questions?

Here are five related questions:

  1. How do you simplify a ratio?
  2. Can you divide both numbers by any common factor in a ratio?
  3. What are some real-life examples where ratios are used?
  4. What is the difference between a proportion and a ratio?
  5. How do you compare two different ratios?

Tip: To find equivalent ratios quickly, use multiplication or division on both terms of the ratio by the same number.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Multiplication

Formulas

Equivalent Ratio: a:b = (a × n):(b × n)

Theorems

Multiplicative Property of Ratios

Suitable Grade Level

Grades 6-8