Part a estimate 10th 12 - 3/8 using benchmark values Your equation must show the estimate of each traction and the final estimate

Answer 1

To estimate \( \frac{10}{12} - \frac{3}{8} \) using benchmark values, we can approximate each fraction to the nearest easily manageable benchmark:

1. Estimate \( \frac{10}{12} \):

   • The fraction \( \frac{10}{12} \) simplifies to \( \frac{5}{6} \).
   • A benchmark value close to \( \frac{5}{6} \) is \( 1 \) (since \( \frac{5}{6} \) is just slightly less than 1).

2. Estimate \( \frac{3}{8} \):

   • A benchmark value close to \( \frac{3}{8} \) can be \( \frac{1}{4} \) (which is \( 0.25 \)) or \( 0.375 \).
   • For simplicity, we can use \( \frac{1}{4} \), which is \( 0.25 \), as a rough estimation.

Now we put these estimates back into the expression:

\[ 1 - \frac{1}{4} \]

To perform this subtraction:

• Convert \( 1 \) into a fraction: \( \frac{4}{4} \)

Now, perform the subtraction: \[ \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \]

Thus, the final estimate:

\[ \text{Final Estimate} = \frac{3}{4} \text{ or } 0.75 \]

Summary:

• Estimated \( \frac{10}{12} \approx 1 \)
• Estimated \( \frac{3}{8} \approx \frac{1}{4} \)
• Final estimate: \( 1 - \frac{1}{4} = \frac{3}{4} \) or \( 0.75 \)