207/48 as a Decimal and Mixed Number

207/48 as a decimal and mixed number expansion provides the detailed information about what is 207/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

207/48 as a Decimal
207/48 = 4.3125
Hence,
207/48 as a decimal equals to 4.3125
where,
207/48 is a given fraction,
The decimal expansion of 207/48 is 4.3125

207/48 as a Mixed Number
207/48 = (192 + 15)/48
= 192/48 + 15/48
= 4 + 15/48
= 4 15/48
207/48 = 4 15/48

Hence,
207/48 as a mixed number is 4 ¹⁵/₄₈
where,
207/48 is a given fraction,
4 ¹⁵/₄₈ is the mixed number representation of 207/48.

The below work with steps provide the detailed information about how to convert fraction 207/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 207/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 207/48.

step 2 The numerator is greater than the denominator of the fraction 207/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 207/48
= 192 + 15/48
= (4 x 48) + 15/48

step 3 Make the above expression as individual fractions:
= (4 x 48)/48 + 15/48

step 4 Simplify the above expression:
= 4 x 48/48 + 15/48
= 4 + 15/48
= 4 + 5 x 3/16 x 3
= 4 + 5/16
4 + 5/16 can be written as a mixed number 4 ⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (5/16 x 625/625)
= 4 + 3125/10000

step 6 Simplify the above expression further:
= 4 + 0.3125
= 4.3125
207/48 = 4.3125

Hence,
207/48 as a decimal is 4.3125
207/48 as a mixed number is 4 ⁵/₁₆