A tailor uses 27 1/3 metres of thread from find the length of the thread left in the reel. a new reel. If the length of a reel is 80 m.

The total length of the reel is 80 meters, and the tailor uses 27 1/3 meters of thread from it. To find the length of thread left in the reel, we subtract the amount used from the total length.

First, convert the mixed fraction \( 27 \frac{1}{3} \) into an improper fraction:

\[
27 \frac{1}{3} = \frac{3 \times 27 + 1}{3} = \frac{81 + 1}{3} = \frac{82}{3}
\]

Now, subtract the amount used from the total length:

\[
80 - \frac{82}{3}
\]

To perform this subtraction, express 80 as a fraction with the same denominator:

\[
80 = \frac{240}{3}
\]

Now subtract:

\[
\frac{240}{3} - \frac{82}{3} = \frac{240 - 82}{3} = \frac{158}{3}
\]

Finally, convert the improper fraction back to a mixed number:

\[
\frac{158}{3} = 52 \frac{2}{3}
\]

So, the length of the thread left in the reel is \( 52 \frac{2}{3} \) meters.

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Would you like further clarification on any part? 

Here are 5 related questions:
1. How do you subtract mixed numbers without converting to improper fractions?
2. What is the quickest way to convert a mixed fraction to an improper fraction?
3. How would you handle larger reel sizes with similar calculations?
4. What is the importance of converting fractions in solving such problems?
5. How can you check if your final answer is correct in fractional problems?

**Tip**: When subtracting fractions, always ensure they have a common denominator to simplify calculations effectively.

A tailor uses 27 1/3 metres of thread from a new reel. If the length of a reel is 80 m, find the length of the thread left in the reel.

Learn how to subtract mixed numbers by solving a real-world problem where a tailor uses 27 1/3 meters of thread from an 80-meter reel. Understand how to convert mixed numbers to improper fractions and perform subtraction with a common denominator. Suitable for Grades 5-7.

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