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What is 3 7/8 as a decimal?
Decimals have a whole number and the fractional part separated by a decimal point. The decimal present between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number.
Answer: The mixed fraction, 3 7/8 written as a decimal is equal to 3.875
Let's analyze the two methods to write 3 7/8 to decimal.
Solving 3 7/8 to a decimal using the division method
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
To perform any operation first step is to change any mixed fraction to an improper fraction.
Here, the fraction is 3 7/8 which means we need to perform 31 ÷ 8 [ 3 7/8 is in mixed fraction so on converting to improper fraction we got 31/8 ]
This gives the answer as 3.875. So, 3 1/8 as a decimal is equal to 3.875
Solving 3 7/8 to decimal by converting the denominator to powers of 10
Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.
Step 2: Multiply both numerator and denominator by that number to convert it into its equivalent fraction.
Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space from the right-hand side for every zero in the denominator.
3 7/8 = 31/8 = (31 × 25) / (8 × 25) = 775/200 = 387.5 / 100 = 3.875
Irrespective of the methods used, the answer to 3 1/8 to decimal will always remain the same.
You can also verify your answer using Cuemath's Fraction to Decimal Calculator.
Thus, the mixed fraction 3 7/8 written as a decimal is equal to 3.875.