\(4/5 : 0.8 :: 5/8 : ?\)
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.
Important Questions from Fractions
If three-fifths of a number is 54, what is two-ninth of it?
Sunila had \(9\frac{1}{4}\) kg of flour to make bread with. If the recipe says that she needs \(1\frac{1}{8}\) kg to make one loaf of bread, how many loafs can she make? Estimate to the nearest whole number.
The value of \(\frac{{11}}{5} - \left( {\frac{2}{3}of\frac{3}{5} - \frac{1}{5}} \right) + \left( {\frac{6}{5} \div \frac{4}{5}} \right)\) is:
In his career, a tennis player won 5 matches lost 12 matches and had 3 matches as draw. The fraction of the match he lost in his career is:
Simplify:
\(62\div 5 - \left(\frac{8}{9}\times \frac{18}{7}\right)\times \frac{7}{5}+\frac{5}{4}\times \frac{16}{25}\)
