252/49 as a decimal and mixed number expansion provides the detailed information about what is 252/49 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
252/49 as a Decimal
252/49 = 5.1429
Hence,
252/49 as a decimal equals to 5.1429
where,
252/49 is a given fraction,
The decimal expansion of 252/49 is 5.1429
252/49 as a Mixed Number
252/49 = (245 + 7)/49
= 245/49 + 7/49
= 5 + 7/49
= 5 7/49
252/49 = 5 7/49
Hence,
252/49 as a mixed number is 5 7/49
where,
252/49 is a given fraction,
5 7/49 is the mixed number representation of 252/49.
The below work with steps provide the detailed information about how to convert fraction 252/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/49
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/49.
step 2 The numerator is greater than the denominator of the fraction 252/49, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/49
= 245 + 7/49
= (5 x 49) + 7/49
step 3 Make the above expression as individual fractions:
= (5 x 49)/49 + 7/49
step 4 Simplify the above expression:
= 5 x 49/49 + 7/49
= 5 + 7/49
= 5 + 1 x 7/7 x 7
= 5 + 1/7
5 + 1/7 can be written as a mixed number 5 1/7.
step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 5 + 0.1429
= 5.1429
252/49 = 5.1429
Hence,
252/49 as a decimal is 5.1429
252/49 as a mixed number is 5 1/7