NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Fill in the Blanks
Question 35

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})

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – Fill in the Blanks | Detailed Answers