61/51 as a decimal and mixed number expansion provides the detailed information about what is 61/51 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
61/51 as a Decimal Expansion
61/51 = 1.1961
Hence,
61/51 as a decimal equals to 1.1961
where,
61/51 is a given fraction,
The decimal expansion of 61/51 is 1.1961
61/51 as a Mixed Number
61/51 = (51 + 10)/51
= 51/51 + 10/51
= 1 + 10/51
= 1 10/51
61/51 = 1 10/51
Hence,
61/51 as a mixed number is 1 10/51
where,
61/51 is a given fraction,
1 10/51 is the mixed number representation of 61/51.
The below work with steps provide the detailed information about how to convert fraction 61/51 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 61/51
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 61/51.
step 2 The numerator is greater than the denominator of the fraction 61/51, so write the given fraction in the expression form in terms of denominator as like the below:
= 61/51
= 51 + 10/51
step 3 Make the above expression as individual fractions:
= 51/51 + 10/51
step 4 Simplify the above expression:
= 1 x 51/51 + 10/51
= 1 + 10/51
1 + 10/51 can be written as a mixed number 1 10/51.
step 5 Find the decimal equivalent for the fractional part 10/51 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 10/51. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 10/51.
= 1 + (10/51 x 10/10)
step 6 Simplify the above expression further:
= 1 + (100/51 x 1/10)
= 1 + (51 + 49/51 x 1/10)
= 1 + [(51/51 + 49/51 ) x 1/10]
= 1 + [(1 + 49/51) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 49/51 in the above expression:
= 1 + [(1 + 49/51) x 1/10]
= 1 + [(1 + 0.96) x 1/10]
= 1 + (1.96 x 1/10)
= 1 + 1.96/10
= 1 + 0.196
step 8 Find the sum of above expression:
= 1 + 0.196
= 1.196
61/51 = 1.196
Hence,
61/51 as a decimal is 1.196
61/51 as a mixed number is 1 10/51