78/74 as a Decimal and Mixed Number

78/74 as a decimal and mixed number expansion provides the detailed information about what is 78/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

78/74 as a Decimal
78/74 = 1.0541
Hence,
78/74 as a decimal equals to 1.0541
where,
78/74 is a given fraction,
The decimal expansion of 78/74 is 1.0541

78/74 as a Mixed Number
78/74 = (74 + 4)/74
= 74/74 + 4/74
= 1 + 4/74
= 1 4/74
78/74 = 1 4/74

Hence,
78/74 as a mixed number is 1 ⁴/₇₄
where,
78/74 is a given fraction,
1 ⁴/₇₄ is the mixed number representation of 78/74.

The below work with steps provide the detailed information about how to convert fraction 78/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 78/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 78/74.

step 2 The numerator is greater than the denominator of the fraction 78/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 78/74
= 74 + 4/74

step 3 Make the above expression as individual fractions:
= 74/74 + 4/74

step 4 Simplify the above expression:
= 1 x 74/74 + 4/74
= 1 + 4/74
= 1 + 2 x 2/37 x 2
= 1 + 2/37
1 + 2/37 can be written as a mixed number 1 ²/₃₇.


step 5 Find the decimal equivalent for the fractional part 2/37 in the above expression:
= 1 + 0.0541
= 1.0541
78/74 = 1.0541

Hence,
78/74 as a decimal is 1.0541
78/74 as a mixed number is 1 ²/₃₇