67/63 as a decimal and mixed number expansion provides the detailed information about what is 67/63 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
67/63 as a Decimal Expansion
67/63 = 1.0635
Hence,
67/63 as a decimal equals to 1.0635
where,
67/63 is a given fraction,
The decimal expansion of 67/63 is 1.0635
67/63 as a Mixed Number
67/63 = (63 + 4)/63
= 63/63 + 4/63
= 1 + 4/63
= 1 4/63
67/63 = 1 4/63
Hence,
67/63 as a mixed number is 1 4/63
where,
67/63 is a given fraction,
1 4/63 is the mixed number representation of 67/63.
The below work with steps provide the detailed information about how to convert fraction 67/63 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 67/63
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 67/63.
step 2 The numerator is greater than the denominator of the fraction 67/63, so write the given fraction in the expression form in terms of denominator as like the below:
= 67/63
= 63 + 4/63
step 3 Make the above expression as individual fractions:
= 63/63 + 4/63
step 4 Simplify the above expression:
= 1 x 63/63 + 4/63
= 1 + 4/63
1 + 4/63 can be written as a mixed number 1 4/63.
step 5 Find the decimal equivalent for the fractional part 4/63 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/63. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/63.
= 1 + (4/63 x 100/100)
step 6 Simplify the above expression further:
= 1 + (400/63 x 1/100)
= 1 + (378 + 22/63 x 1/100)
= 1 + [(378/63 + 22/63 ) x 1/100]
= 1 + [(6 + 22/63) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 22/63 in the above expression:
= 1 + [(6 + 22/63) x 1/100]
= 1 + [(6 + 0.35) x 1/100]
= 1 + (6.35 x 1/100)
= 1 + 6.35/100
= 1 + 0.0635
step 8 Find the sum of above expression:
= 1 + 0.0635
= 1.0635
67/63 = 1.0635
Hence,
67/63 as a decimal is 1.0635
67/63 as a mixed number is 1 4/63