Math Problem Statement

51. 13 is what percent of 16? 53. 33 is what percent of 40?

Solution

The problem consists of the following questions:

51. 13 is what percent of 16?
53. 33 is what percent of 40?

To solve these, we use the formula for percentage:

Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100

For question 51:
We need to find what percent 13 is of 16.

Percentage=(1316)×100\text{Percentage} = \left(\frac{13}{16}\right) \times 100

Percentage=0.8125×100=81.25%\text{Percentage} = 0.8125 \times 100 = 81.25\%

For question 53:
We need to find what percent 33 is of 40.

Percentage=(3340)×100\text{Percentage} = \left(\frac{33}{40}\right) \times 100

Percentage=0.825×100=82.5%\text{Percentage} = 0.825 \times 100 = 82.5\%

So, the answers are:
51. 13 is 81.25% of 16.
53. 33 is 82.5% of 40.

Would you like further details or explanations? Here are some additional questions you could explore:

  1. How do you calculate the percentage of a number without using the formula?
  2. What is the relationship between a percentage, a fraction, and a decimal?
  3. How would the answers change if the whole values were larger or smaller?
  4. What is the significance of percentages in real-world applications like finance?
  5. How can you use percentages in calculating sales tax or discounts?

Tip: Always double-check your steps by converting the percentage back to the original fraction or decimal to ensure accuracy.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Fractions
Ratios

Formulas

Percentage = (Part / Whole) × 100

Theorems

-

Suitable Grade Level

Grades 5-7