Question

Find the difference:
3 3/8 -2.7
A. 27/40
B. 43/56
C. 1 13/56
C.1 13/40

Answer 1

To find the difference \( 3 \frac{3}{8} - 2.7 \), we first need to convert both numbers into a comparable format, either as improper fractions or as decimals.

**Step 1: Convert \( 3 \frac{3}{8} \) into an improper fraction.**

\[
3 \frac{3}{8} = 3 + \frac{3}{8} = \frac{3 \times 8}{8} + \frac{3}{8} = \frac{24}{8} + \frac{3}{8} = \frac{24 + 3}{8} = \frac{27}{8}
\]

**Step 2: Convert \( 2.7 \) into a fraction.**

\[
2.7 = \frac{27}{10}
\]

**Step 3: Find a common denominator for \( \frac{27}{8} \) and \( \frac{27}{10} \).**

The least common multiple (LCM) of 8 and 10 is 40.

**Step 4: Convert both fractions to have a denominator of 40.**

For \( \frac{27}{8} \):

\[
\frac{27}{8} \times \frac{5}{5} = \frac{135}{40}
\]

For \( \frac{27}{10} \):

\[
\frac{27}{10} \times \frac{4}{4} = \frac{108}{40}
\]

**Step 5: Subtract the two fractions.**

\[
\frac{135}{40} - \frac{108}{40} = \frac{135 - 108}{40} = \frac{27}{40}
\]

**Conclusion:**

The difference \( 3 \frac{3}{8} - 2.7 \) is \( \frac{27}{40} \).

Thus, the answer is:

**A. \( \frac{27}{40} \)**.