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Last updated on March 3rd, 2025

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7/16 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (the number on the top) here, 7, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

7/16 as a Decimal for Singaporean Students
Professor Greenline from BrightChamps

What is 7/16 as a decimal?

7/16 as a decimal

 

Answer

7/16 in decimals can be written as 0.4375. It is a terminating decimal, meaning it has an end point.

 

Explanation

To convert 7/16 to a decimal, we will use the division method. Since 7 is smaller than 16, we use the decimal method to find the result. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

 

Step 2: As 7 is smaller than 16, it can't be divided directly. Here, we will use decimals. We will add 0 to the dividend, making 7 as 70 and add a decimal point in the quotient place.

 

Step 3: Now that it is 70, we can divide it by 16. Let's see how many times 16 fits into 70.

 

Step 4: 16 goes into 70 four times (16 × 4 = 64). We write 4 in the quotient place and subtract 64 from 70, which gives 6.

 

Step 5: Bring down another 0 in the dividend place, making it 60, and then divide again.

 

Step 6: 16 goes into 60 three times (16 × 3 = 48). Write 3 in the quotient and subtract 48 from 60, leaving 12.

 

Step 7: Bring down another 0 to make it 120, and divide again.

 

Step 8: 16 goes into 120 seven times (16 × 7 = 112). Write 7 in the quotient and subtract 112 from 120, leaving 8.

 

Step 9: Bring down another 0 to make it 80, and divide again.

 

Step 10: 16 goes into 80 five times (16 × 5 = 80). Write 5 in the quotient, leaving no remainder.

 

The answer for 7/16 as a decimal is 0.4375.

Professor Greenline from BrightChamps

Important Glossaries for 7/16 as a decimal

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, we believe math questions are more than just exercises—they’re opportunities for growth! Our mission is to support children across Singapore in developing important skills, such as today’s focus on the 7/16 as a Decimal with a key emphasis on decimal conversions—in an engaging, enjoyable, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Universal Studios Singapore, tracking scores at a local football match, or managing their allowance for the latest gadgets, strong math skills build their confidence to face daily tasks. Our lessons are interactive and fun. Since kids in Singapore have diverse learning styles, we customize our teaching to suit each child. From the bustling city streets to the scenic gardens, BrightChamps makes math come alive, making it relevant and exciting throughout Singapore. Let’s make decimal conversions an enjoyable part of every child’s learning journey!
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