77/4 as a Decimal and Mixed Number
77/4 as a decimal and mixed number expansion provides the detailed information about what is 77/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
77/4 as a Decimal Expansion
77/4 = 19.25
Hence,
77/4 as a decimal equals to 19.25
where,
77/4 is a given fraction,
The decimal expansion of 77/4 is 19.25
77/4 as a Mixed Number
77/4 = (76 + 1)/4
= 76/4 + 1/4
= 19 + 1/4
= 19 1/4
77/4 = 19 1/4
Hence,
77/4 as a mixed number is 19 1/4
where,
77/4 is a given fraction,
19 1/4 is the mixed number representation of 77/4.
How-to: 77/4 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 77/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/4
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/4.
step 2 The numerator is greater than the denominator of the fraction 77/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/4
= 76 + 1/4
= (19 x 4) + 1/4
step 3 Make the above expression as individual fractions:
= (19 x 4)/4 + 1/4
step 4 Simplify the above expression:
= 19 x 4/4 + 1/4
= 19 + 1/4
19 + 1/4 can be written as a mixed number 19 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/4.
= 19 + (1/4 x 10/10)
step 6 Simplify the above expression further:
= 19 + (10/4 x 1/10)
= 19 + (8 + 2/4 x 1/10)
= 19 + [(8/4 + 2/4 ) x 1/10]
= 19 + [(2 + 2/4) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/4 in the above expression:
= 19 + [(2 + 2/4) x 1/10]
= 19 + [(2 + 0.5) x 1/10]
= 19 + (2.5 x 1/10)
= 19 + 2.5/10
= 19 + 0.25
step 8 Find the sum of above expression:
= 19 + 0.25
= 19.25
77/4 = 19.25
Hence,
77/4 as a decimal is 19.25
77/4 as a mixed number is 19 1/4