# A piece of wire ​31/24 metres cut into two pieces. One piece was 2/3 metres. How long is the other p…

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### Tanong

A piece of wire ​31/24 metres cut into two pieces. One piece was 2/3 metres. How long is the other piece?

## ✏️FRACTIONS

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$$\large \bold{\blue{PROBLEM:}}$$ A piece of wire 31/24 metres cut into two pieces. One piece was 2/3 metres. How long is the other piece?

$$\large \bold{\blue{SOLUTION:}}$$ Subtract the two fractions to find how long is the other piece. Find the LCD.

• $$= \sf \frac{31}{24} – \frac{2}{3} \\$$
• $$= \sf \frac{31×1}{24×1} – \frac{2×8}{3×8} \\$$
• $$= \sf \frac{31}{24} – \frac{16}{24} \\$$
• $$= \sf \frac{15}{24} \\$$

» Simplify:

• $$= \sf \frac{15÷3}{24÷3} \\$$
• $$= \sf \frac{5}{8} \\$$

$$\large \therefore \underline{\boxed{\tt \purple{The \: other \: wire \: is \: \frac{5}{8} \: meters}}}$$

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