70/15 as a decimal and mixed number expansion provides the detailed information about what is 70/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
70/15 as a Decimal
70/15 = 4.6667
Hence,
70/15 as a decimal equals to 4.6667
where,
70/15 is a given fraction,
The decimal expansion of 70/15 is 4.6667
70/15 as a Mixed Number
70/15 = (60 + 10)/15
= 60/15 + 10/15
= 4 + 10/15
= 4 10/15
70/15 = 4 10/15
Hence,
70/15 as a mixed number is 4 10/15
where,
70/15 is a given fraction,
4 10/15 is the mixed number representation of 70/15.
The below work with steps provide the detailed information about how to convert fraction 70/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 70/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 70/15.
step 2 The numerator is greater than the denominator of the fraction 70/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 70/15
= 60 + 10/15
= (4 x 15) + 10/15
step 3 Make the above expression as individual fractions:
= (4 x 15)/15 + 10/15
step 4 Simplify the above expression:
= 4 x 15/15 + 10/15
= 4 + 10/15
= 4 + 2 x 5/3 x 5
= 4 + 2/3
4 + 2/3 can be written as a mixed number 4 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 4 + 0.6667
= 4.6667
70/15 = 4.6667
Hence,
70/15 as a decimal is 4.6667
70/15 as a mixed number is 4 2/3