67/15 as a Decimal and Mixed Number
67/15 as a decimal and mixed number expansion provides the detailed information about what is 67/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
67/15 as a Decimal Expansion
67/15 = 4.4667
Hence,
67/15 as a decimal equals to 4.4667
where,
67/15 is a given fraction,
The decimal expansion of 67/15 is 4.4667
67/15 as a Mixed Number
67/15 = (60 + 7)/15
= 60/15 + 7/15
= 4 + 7/15
= 4 7/15
67/15 = 4 7/15
Hence,
67/15 as a mixed number is 4 7/15
where,
67/15 is a given fraction,
4 7/15 is the mixed number representation of 67/15.
How-to: 67/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 67/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 67/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 67/15.
step 2 The numerator is greater than the denominator of the fraction 67/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 67/15
= 60 + 7/15
= (4 x 15) + 7/15
step 3 Make the above expression as individual fractions:
= (4 x 15)/15 + 7/15
step 4 Simplify the above expression:
= 4 x 15/15 + 7/15
= 4 + 7/15
4 + 7/15 can be written as a mixed number 4 7/15.
step 5 Find the decimal equivalent for the fractional part 7/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/15. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/15.
= 4 + (7/15 x 100/100)
step 6 Simplify the above expression further:
= 4 + (700/15 x 1/100)
= 4 + (690 + 10/15 x 1/100)
= 4 + [(690/15 + 10/15 ) x 1/100]
= 4 + [(46 + 10/15) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/15 in the above expression:
= 4 + [(46 + 10/15) x 1/100]
= 4 + [(46 + 0.67) x 1/100]
= 4 + (46.67 x 1/100)
= 4 + 46.67/100
= 4 + 0.4667
step 8 Find the sum of above expression:
= 4 + 0.4667
= 4.4667
67/15 = 4.4667
Hence,
67/15 as a decimal is 4.4667
67/15 as a mixed number is 4 7/15