Numerous mathematical calculations and equations.

Question image

Understand the Problem

The question involves various calculations and equations, likely related to a mathematical problem solving scenario. It appears to consist of step-by-step work leading to specific numerical results.

Answer

- \( \frac{1260}{110} \approx 11.45 \) - \( 7000 \times \frac{11}{12} \approx 6416.67 \) - \( \frac{658}{56} \approx 11.79 \) - \( \frac{152}{680} \approx 0.22 \)
Answer for screen readers

The calculations and their results lead to several numerical answers, primarily focusing on ratios and divisions.

  • ( \frac{1260}{110} \approx 11.45 )
  • ( 7000 \times \frac{11}{12} \approx 6416.67 )
  • ( \frac{658}{56} \approx 11.79 )
  • ( \frac{152}{680} \approx 0.22 )

Steps to Solve

  1. Identifying the calculations
    From the handwritten notes, it appears there are various arithmetic operations and ratios being calculated. We will extract the main equations to solve.

  2. Performing arithmetic operations
    It looks like there are several division operations involved. For instance, one calculation reads ( \frac{1260}{110} ).

    • Calculate that: $$ \frac{1260}{110} = 11.4545 $$
  3. Extracting values
    Notice the calculation includes: ( 7000 \times 11/12 ).

    • Calculate that: $$ 7000 \times \frac{11}{12} = \frac{77000}{12} = 6416.67 $$
  4. Finding ratio values
    The notes also show a ratio, ( \frac{658}{56} ):

    • Find this ratio: $$ \frac{658}{56} \approx 11.7857 $$
  5. Final calculations
    Lastly, it indicates a broader calculation involving ( \frac{152}{680} ):

    • Calculate this: $$ \frac{152}{680} \approx 0.2235 $$

The calculations and their results lead to several numerical answers, primarily focusing on ratios and divisions.

  • ( \frac{1260}{110} \approx 11.45 )
  • ( 7000 \times \frac{11}{12} \approx 6416.67 )
  • ( \frac{658}{56} \approx 11.79 )
  • ( \frac{152}{680} \approx 0.22 )

More Information

The calculations presented involve finding ratios and scaling numbers, which are common in algebraic problems, especially in scenarios involving proportions and fractions. It showcases essential arithmetic operations and the importance of clear step-by-step solutions.

Tips

  • Misinterpreting ratios: It’s crucial to clearly understand what each ratio represents before dividing values.
  • Dropping decimals: Pay close attention to decimal places to avoid significant errors in final results.

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