Question

Drag the tiles to the correct boxes to complete the pairs.
Let A = 2, B = 2/5 and C = 3/8
. Find the value of each expression below.
A - B + C
arrowBoth
A × C + B
arrowBoth
A × B + C
arrowBoth
A + B - C

Answer 1

Let's calculate each expression step by step, given \( A = 2 \), \( B = \frac{2}{5} \), and \( C = \frac{3}{8} \).

1. **Expression: A - B + C**
\[
A - B + C = 2 - \frac{2}{5} + \frac{3}{8}
\]
Convert to a common denominator (40):
\[
2 = \frac{80}{40}, \quad -\frac{2}{5} = -\frac{16}{40}, \quad \frac{3}{8} = \frac{15}{40}
\]
Now sum them:
\[
\frac{80}{40} - \frac{16}{40} + \frac{15}{40} = \frac{80 - 16 + 15}{40} = \frac{79}{40}
\]

2. **Expression: A × C + B**
\[
A \times C + B = 2 \times \frac{3}{8} + \frac{2}{5}
\]
Calculate \( 2 \times \frac{3}{8} \):
\[
= \frac{6}{8} = \frac{3}{4}
\]
Convert to a common denominator (20):
\[
\frac{3}{4} = \frac{15}{20}, \quad \frac{2}{5} = \frac{8}{20}
\]
Now sum them:
\[
\frac{15}{20} + \frac{8}{20} = \frac{23}{20}
\]

3. **Expression: A × B + C**
\[
A \times B + C = 2 \times \frac{2}{5} + \frac{3}{8}
\]
Calculate \( 2 \times \frac{2}{5} \):
\[
= \frac{4}{5}
\]
Convert to a common denominator (40):
\[
\frac{4}{5} = \frac{32}{40}, \quad \frac{3}{8} = \frac{15}{40}
\]
Now sum them:
\[
\frac{32}{40} + \frac{15}{40} = \frac{47}{40}
\]

4. **Expression: A + B - C**
\[
A + B - C = 2 + \frac{2}{5} - \frac{3}{8}
\]
Convert to a common denominator (40):
\[
2 = \frac{80}{40}, \quad \frac{2}{5} = \frac{16}{40}, \quad -\frac{3}{8} = -\frac{15}{40}
\]
Now sum them:
\[
\frac{80}{40} + \frac{16}{40} - \frac{15}{40} = \frac{80 + 16 - 15}{40} = \frac{81}{40}
\]

**Final Results:**
- **A - B + C =** \(\frac{79}{40}\)
- **A × C + B =** \(\frac{23}{20}\)
- **A × B + C =** \(\frac{47}{40}\)
- **A + B - C =** \(\frac{81}{40}\)