NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Fill in the BlanksQuestion 35
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Fill in the Blanks
Question. 35
Decimal 16.25 is equal to the fraction _____.
Answer:
Decimal 16.25 is equal to the fraction \(\tfrac{65}{4}\).
Detailed Answer with Explanation:
Step 1: Separate the whole and decimal parts.
(16.25 = 16 + 0.25)
Step 2: Write the decimal part as a fraction.
(0.25 = frac{25}{100})
Step 3: Simplify the fraction.
Divide top and bottom by (25).
( frac{25}{100} = frac{1}{4})
Step 4: Add the whole number and the fraction.
(16 + frac{1}{4} = 16 frac{1}{4})
Step 5: Convert the mixed number to an improper fraction.
(16 frac{1}{4} = frac{16 imes 4 + 1}{4} = frac{64 + 1}{4} = frac{65}{4})