301/45 as a Decimal and Mixed Number

301/45 as a decimal and mixed number expansion provides the detailed information about what is 301/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

301/45 as a Decimal
301/45 = 6.6889
Hence,
301/45 as a decimal equals to 6.6889
where,
301/45 is a given fraction,
The decimal expansion of 301/45 is 6.6889

301/45 as a Mixed Number
301/45 = (270 + 31)/45
= 270/45 + 31/45
= 6 + 31/45
= 6 31/45
301/45 = 6 31/45

Hence,
301/45 as a mixed number is 6 ³¹/₄₅
where,
301/45 is a given fraction,
6 ³¹/₄₅ is the mixed number representation of 301/45.

The below work with steps provide the detailed information about how to convert fraction 301/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 301/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 301/45.

step 2 The numerator is greater than the denominator of the fraction 301/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 301/45
= 270 + 31/45
= (6 x 45) + 31/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 31/45

step 4 Simplify the above expression:
= 6 x 45/45 + 31/45
= 6 + 31/45
6 + 31/45 can be written as a mixed number 6 ³¹/₄₅.


step 5 Find the decimal equivalent for the fractional part 31/45 in the above expression:
= 6 + 0.6889
= 6.6889
301/45 = 6.6889

Hence,
301/45 as a decimal is 6.6889
301/45 as a mixed number is 6 ³¹/₄₅