71/49 as a Decimal and Mixed Number

71/49 as a decimal and mixed number expansion provides the detailed information about what is 71/49 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/49 as a Decimal
71/49 = 1.449
Hence,
71/49 as a decimal equals to 1.449
where,
71/49 is a given fraction,
The decimal expansion of 71/49 is 1.449

71/49 as a Mixed Number
71/49 = (49 + 22)/49
= 49/49 + 22/49
= 1 + 22/49
= 1 22/49
71/49 = 1 22/49

Hence,
71/49 as a mixed number is 1 ²²/₄₉
where,
71/49 is a given fraction,
1 ²²/₄₉ is the mixed number representation of 71/49.

The below work with steps provide the detailed information about how to convert fraction 71/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/49

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/49.

step 2 The numerator is greater than the denominator of the fraction 71/49, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/49
= 49 + 22/49

step 3 Make the above expression as individual fractions:
= 49/49 + 22/49

step 4 Simplify the above expression:
= 1 x 49/49 + 22/49
= 1 + 22/49
1 + 22/49 can be written as a mixed number 1 ²²/₄₉.


step 5 Find the decimal equivalent for the fractional part 22/49 in the above expression:
= 1 + 0.449
= 1.449
71/49 = 1.449

Hence,
71/49 as a decimal is 1.449
71/49 as a mixed number is 1 ²²/₄₉