76/63 as a decimal and mixed number expansion provides the detailed information about what is 76/63 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
76/63 as a Decimal Expansion
76/63 = 1.2063
Hence,
76/63 as a decimal equals to 1.2063
where,
76/63 is a given fraction,
The decimal expansion of 76/63 is 1.2063
76/63 as a Mixed Number
76/63 = (63 + 13)/63
= 63/63 + 13/63
= 1 + 13/63
= 1 13/63
76/63 = 1 13/63
Hence,
76/63 as a mixed number is 1 13/63
where,
76/63 is a given fraction,
1 13/63 is the mixed number representation of 76/63.
The below work with steps provide the detailed information about how to convert fraction 76/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/63
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/63.
step 2 The numerator is greater than the denominator of the fraction 76/63, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/63
= 63 + 13/63
step 3 Make the above expression as individual fractions:
= 63/63 + 13/63
step 4 Simplify the above expression:
= 1 x 63/63 + 13/63
= 1 + 13/63
1 + 13/63 can be written as a mixed number 1 13/63.
step 5 Find the decimal equivalent for the fractional part 13/63 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/63. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/63.
= 1 + (13/63 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/63 x 1/10)
= 1 + (126 + 4/63 x 1/10)
= 1 + [(126/63 + 4/63 ) x 1/10]
= 1 + [(2 + 4/63) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/63 in the above expression:
= 1 + [(2 + 4/63) x 1/10]
= 1 + [(2 + 0.06) x 1/10]
= 1 + (2.06 x 1/10)
= 1 + 2.06/10
= 1 + 0.206
step 8 Find the sum of above expression:
= 1 + 0.206
= 1.206
76/63 = 1.206
Hence,
76/63 as a decimal is 1.206
76/63 as a mixed number is 1 13/63