70/33 as a decimal and mixed number expansion provides the detailed information about what is 70/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
70/33 as a Decimal
70/33 = 2.1212
Hence,
70/33 as a decimal equals to 2.1212
where,
70/33 is a given fraction,
The decimal expansion of 70/33 is 2.1212
70/33 as a Mixed Number
70/33 = (66 + 4)/33
= 66/33 + 4/33
= 2 + 4/33
= 2 4/33
70/33 = 2 4/33
Hence,
70/33 as a mixed number is 2 4/33
where,
70/33 is a given fraction,
2 4/33 is the mixed number representation of 70/33.
The below work with steps provide the detailed information about how to convert fraction 70/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 70/33
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 70/33.
step 2 The numerator is greater than the denominator of the fraction 70/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 70/33
= 66 + 4/33
= (2 x 33) + 4/33
step 3 Make the above expression as individual fractions:
= (2 x 33)/33 + 4/33
step 4 Simplify the above expression:
= 2 x 33/33 + 4/33
= 2 + 4/33
2 + 4/33 can be written as a mixed number 2 4/33.
step 5 Find the decimal equivalent for the fractional part 4/33 in the above expression:
= 2 + 0.1212
= 2.1212
70/33 = 2.1212
Hence,
70/33 as a decimal is 2.1212
70/33 as a mixed number is 2 4/33