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Last updated on May 26th, 2025

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42/48 as a decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), which here is 42, representing how many parts out of the whole, and the denominator (the number below), which here is 48, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

42/48 as a decimal for Indian Students
Professor Greenline from BrightChamps

What is 42/48 as a decimal?

42/48 as a decimal

Answer

 

42/48 as a decimal can be simplified to 0.875. This is a terminating decimal.

 

Explanation

 

To convert 42/48 into a decimal, we will use the division method. The numerator (42) will be taken as the dividend, and the denominator (48) will be the divisor. Let's break down the process step by step:

 

Step 1: Simplify the fraction 42/48. Both 42 and 48 are divisible by 6, so we simplify it to 7/8.

 

Step 2: Now, divide 7 by 8. Since 7 is less than 8, we consider the decimal method by adding a decimal point in the quotient.

 

Step 3: Make 7 into 70 by considering decimal division.

 

Step 4: Divide 70 by 8. 8 goes into 70 eight times (8 × 8 = 64).

 

Step 5: Subtract 64 from 70, which gives 6.

 

Step 6: Bring down a 0, making it 60. Divide 60 by 8, which gives 7, (8 × 7 = 56).

 

Step 7: Subtract 56 from 60, which gives 4.

 

Step 8: Bring down another 0 to make it 40. Divide 40 by 8, which gives 5, (8 × 5 = 40).

 

Step 9: Subtract 40 from 40, which results in 0. The division process stops here as the remainder is 0, making it a terminating decimal.

 

The answer for 42/48 as a decimal is 0.875.

Professor Greenline from BrightChamps

Important Glossaries for 42/48 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 India

At BrightChamps, we understand math questions go beyond just calculations—they open doors to countless opportunities! Our goal is to assist children across India in mastering important skills like today’s focus on the 42/48 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 train, following scores in a cricket match, or managing their pocket money for the latest gadgets, good math skills build their confidence for daily challenges. Our interactive lessons make learning fun and simple. Since children in India learn in varied ways, we adapt our teaching to fit each child’s unique style. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps brings math to life, making it relevant and exciting all over India. Let’s make decimal conversions a fun part of every child’s math journey!
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