24,812 views
14 votes
14 votes
Sean is buying 9/16 pound of tea at a tea shop. Write the amount as a decimal.

User Dhwani
by
2.7k points

1 Answer

5 votes
5 votes

Explanation:

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

Answer: 9/16 as a decimal is 0.5625

9-16-as-a-decimal-is-0.5625

Let's look into the two methods to write 9/16 as a decimal.

Explanation:

Method 1: Writing 9/16 as a decimal using the division method

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Here, the fraction is 9/16 which means we need to perform 9 ÷ 16

This gives the answer as 0.5625. So, 9/16 as a decimal is 0.5625

Method 2: Writing 9/16 as a decimal by converting the denominator to powers of 10

Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.

Step 2: Multiply both numerator and denominator by that number to convert it into it's an equivalent fraction.

Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space from the right-hand side for every zero in the denominator.

9/16 = (9 × 625) / (16 × 625) = 5625/10000 = 0.5625

Irrespective of the methods used, the answer to 9/16 as a decimal will always remain the same.

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.

Thus, 9/16 as a decimal is 0.5625

User Krishnang K Dalal
by
2.8k points