\(4/5 : 0.8 :: 5/8 : ?\)
Analogy Problem: Fraction to Decimal Conversion
Relationship Analysis
The question asks to find a relationship between the first two terms (\(4/5\) and $0.8$) and apply it to the third term (\(5/8\)) to find the fourth term.
First, let's examine the relationship between \(4/5\) and $0.8$. Convert the fraction \(4/5\) to a decimal:
- Calculation: \(\frac{4}{5} = 4 \div 5 = 0.8\)
The relationship is that the second term is the decimal equivalent of the first term.
Applying the Relationship
Now, apply this relationship to the third term, \(5/8\). Convert the fraction \(5/8\) to its decimal equivalent:
- Calculation: \(\frac{5}{8} = 5 \div 8 = 0.625\)
Thus, the fourth term in the analogy is $0.625$.
Final Answer
The calculated value $0.625$ corresponds to Option 2.
Similar Questions
What is the sum of \(\frac{3}{8} + \frac{5}{12}\)?
- \(4/5^{th}\) of a piece of cloth was used to make ribbons of length \(100\text{ cm}\). What was the length of the cloth at the beginning?
- ₹ 150 of Amit's pocket money was spent on a pair of shoes and ₹ 75 on a watch. The total amount spent was three-fourth of his total pocket money. What was the amount received by Amit as pocket money?
- How much does one need to add to $\frac{2}{3}$ to obtain $\frac{3}{2}$?
Important Questions from Fractions
5 \(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) Find the value of x.
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
