Question
R. 8 If we have two fractions like \( \frac{7}{*}=\frac{147}{42} \). Replace * by a number. Q. 9 The weight of Reena is 68 kg 75 g and the weight of Riva is 56.980 k .
Ask by Li Mccarthy. in India
Dec 22,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
**Problem 8:** Replace the asterisk (*) with **2**.
**Problem 9:**
- Reena weighs **68.075 kg**.
- Riva weighs **56.980 kg**.
- Reena is **11.095 kg** heavier than Riva.
Solution
Let's tackle each of your questions one by one.
---
### **Problem 8**
**Given:**
\[
\frac{7}{*} = \frac{147}{42}
\]
**Find:** The value of *.
**Solution:**
To find the value of *, we'll solve the equation step by step.
1. **Set Up the Equation:**
\[
\frac{7}{*} = \frac{147}{42}
\]
2. **Simplify the Right Side:**
\[
\frac{147}{42} = 3.5
\]
(Since \(42 \times 3 = 126\) and \(42 \times 0.5 = 21\), adding them gives \(126 + 21 = 147\)).
3. **Rewrite the Equation:**
\[
\frac{7}{*} = 3.5
\]
4. **Solve for *:**
\[
* = \frac{7}{3.5} = 2
\]
**Answer:** The asterisk (*) should be replaced by **2**.
---
### **Problem 9**
**Given:**
- Reena's weight: **68 kg 75 g**
- Riva's weight: **56.980 kg**
**Possible Tasks:**
Since the question isn't fully specified, I'll cover a couple of common tasks related to weight comparison and unit conversion.
---
#### **a. Convert Reena's Weight to Kilograms in Decimal Form**
**Given:**
\[
68 \text{ kg } 75 \text{ g}
\]
**Conversion:**
\[
75 \text{ grams} = 0.075 \text{ kilograms}
\]
\[
\text{Total weight} = 68 \text{ kg} + 0.075 \text{ kg} = 68.075 \text{ kg}
\]
---
#### **b. Compare Reena's and Riva's Weights**
**Reena's Weight:** 68.075 kg
**Riva's Weight:** 56.980 kg
**Difference in Weight:**
\[
68.075 \text{ kg} - 56.980 \text{ kg} = 11.095 \text{ kg}
\]
**Conclusion:**
Reena is **11.095 kg** heavier than Riva.
---
If you intended to ask something else in **Problem 9**, please provide additional details so I can assist you further!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To solve the equation \( \frac{7}{*}=\frac{147}{42} \), we can first simplify the right side. The fraction \( \frac{147}{42} \) reduces to \( \frac{7}{2} \) because 147 divided by 21 is 7, and 42 divided by 21 is 2. Thus, we have \( \frac{7}{*}=\frac{7}{2} \). From this, we can infer that * equals 2. Reena's weight is 68 kg 75 g, which converts to 68.075 kg (since 75 g is 0.075 kg). Riva's weight is given as 56.980 kg. To understand the difference, you can subtract Reena's weight from Riva's to find how they compare. This makes the numbers easy to digest and adds a little drama to the daily weigh-in!
