A, B and C are numbers.
Here is some information about B and C.
B = 7/4 of A
C = A increased by 150%
Work out C as a fraction of B.

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<table border="1" cellpadding="20" cellspacing="0" style="border-collapse: collapse; font-family: Times New Roman, serif; font-size: 24px;"> <tr> <td style="font-style: italic; width: 80px; text-align: center;"><i>B</i></td> <td style="padding: 20px 40px;">⁷/₄ of <i>A</i></td> </tr> <tr> <td style="font-style: italic; text-align: center;"><i>C</i></td> <td style="padding: 20px 40px;"><i>A</i> <b>increased by 150%</b></td> </tr> </table>

We are given relationships between A, B, and C. We need to find the value of the fraction C/B. 1. **Express B in terms of A:** B = 7/4 of A B = (7/4)A 2. **Express C in terms of A:** C = A increased by 150% This means C is the original amount (100% of A) plus the increase (150% of A). C = 100% A + 150% A = 250% A To convert the percentage to a fraction: 250% = 250/100 = 25/10 = 5/2. So, C = (5/2)A 3. **Calculate C as a fraction of B (C/B):** C/B = ( (5/2)A ) / ( (7/4)A ) The `A` on the top and bottom cancels out: C/B = (5/2) / (7/4) 4. **Divide the fractions:** To divide by a fraction, you multiply by its reciprocal (flip it upside down): C/B = 5/2 × 4/7 C/B = (5 × 4) / (2 × 7) = 20/14 5. **Simplify:** C/B = 20/14 = 10/7 The final answer is 10/7.