45/60 as a Decimal

Answer

45/60 in decimals can be simplified to 0.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 45/60 to a decimal, we will use the division method. First, simplify the fraction to its simplest form.

Step 1: Identify the numerator and denominator. Here, the numerator (45) will be taken as the dividend, and the denominator (60) will be taken as the divisor.

Step 2: Simplify the fraction 45/60. Both 45 and 60 are divisible by 15, so divide both by 15 to get 3/4.

Step 3: Now, convert 3/4 to a decimal by dividing 3 by 4.

Step 4: 4 goes into 3, 0 times, so we add a decimal point and a zero to the dividend.

Step 5: 4 goes into 30, 7 times (4 × 7 = 28). Write 7 in the quotient, and subtract 28 from 30 to get 2.

Step 6: Bring down another 0 to make it 20, and divide by 4, which goes 5 times (4 × 5 = 20).

Step 7: Subtract 20 from 20 to get 0, which ends the division.

The answer for 45/60 as a decimal is 0.75.

• 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.