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.

• 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.