70/13 as a Decimal and Mixed Number

70/13 as a decimal and mixed number expansion provides the detailed information about what is 70/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

70/13 as a Decimal
70/13 = 5.3846
Hence,
70/13 as a decimal equals to 5.3846
where,
70/13 is a given fraction,
The decimal expansion of 70/13 is 5.3846

70/13 as a Mixed Number
70/13 = (65 + 5)/13
= 65/13 + 5/13
= 5 + 5/13
= 5 5/13
70/13 = 5 5/13

Hence,
70/13 as a mixed number is 5 ⁵/₁₃
where,
70/13 is a given fraction,
5 ⁵/₁₃ is the mixed number representation of 70/13.

The below work with steps provide the detailed information about how to convert fraction 70/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 70/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 70/13.

step 2 The numerator is greater than the denominator of the fraction 70/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 70/13
= 65 + 5/13
= (5 x 13) + 5/13

step 3 Make the above expression as individual fractions:
= (5 x 13)/13 + 5/13

step 4 Simplify the above expression:
= 5 x 13/13 + 5/13
= 5 + 5/13
5 + 5/13 can be written as a mixed number 5 ⁵/₁₃.


step 5 Find the decimal equivalent for the fractional part 5/13 in the above expression:
= 5 + 0.3846
= 5.3846
70/13 = 5.3846

Hence,
70/13 as a decimal is 5.3846
70/13 as a mixed number is 5 ⁵/₁₃