188/46 as a decimal and mixed number expansion provides the detailed information about what is 188/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
188/46 as a Decimal
188/46 = 4.087
Hence,
188/46 as a decimal equals to 4.087
where,
188/46 is a given fraction,
The decimal expansion of 188/46 is 4.087
188/46 as a Mixed Number
188/46 = (184 + 4)/46
= 184/46 + 4/46
= 4 + 4/46
= 4 4/46
188/46 = 4 4/46
Hence,
188/46 as a mixed number is 4 4/46
where,
188/46 is a given fraction,
4 4/46 is the mixed number representation of 188/46.
The below work with steps provide the detailed information about how to convert fraction 188/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 188/46
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 188/46.
step 2 The numerator is greater than the denominator of the fraction 188/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 188/46
= 184 + 4/46
= (4 x 46) + 4/46
step 3 Make the above expression as individual fractions:
= (4 x 46)/46 + 4/46
step 4 Simplify the above expression:
= 4 x 46/46 + 4/46
= 4 + 4/46
= 4 + 2 x 2/23 x 2
= 4 + 2/23
4 + 2/23 can be written as a mixed number 4 2/23.
step 5 Find the decimal equivalent for the fractional part 2/23 in the above expression:
= 4 + 0.087
= 4.087
188/46 = 4.087
Hence,
188/46 as a decimal is 4.087
188/46 as a mixed number is 4 2/23