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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (number on the top) here, 5 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the 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.
1 1/4 in decimals can be written as 1.25. It is a terminating decimal, meaning the division ends without repeating.
To get 1 1/4 in decimal, we will convert the fraction part (1/4) into decimal form and add it to the whole number 1. Let's see the step-by-step breakdown of the process:
Step 1: Convert the fraction 1/4 into decimal form.
Step 2: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (4) will be the divisor.
Step 3: Divide 1 by 4. 1 is smaller than 4, so we need to add a decimal to the quotient place and a 0 to the dividend, making it 10.
Step 4: Divide 10 by 4. 4 goes into 10 two times (4 × 2 = 8). Write 2 in the quotient place and subtract 8 from 10, giving 2.
Step 5: Bring down another 0 to the dividend place, making it 20, then divide 20 by 4. 4 goes into 20 five times (4 × 5 = 20). Write 5 in the quotient place.
Step 6: No remainder is left, so the division process is complete. The fraction 1/4 is 0.25 in decimal form.
Step 7: Add the decimal 0.25 to the whole number 1 to get the final answer, 1.25.