146/74 as a decimal and mixed number expansion provides the detailed information about what is 146/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
146/74 as a Decimal
146/74 = 1.973
Hence,
146/74 as a decimal equals to 1.973
where,
146/74 is a given fraction,
The decimal expansion of 146/74 is 1.973
146/74 as a Mixed Number
146/74 = (74 + 72)/74
= 74/74 + 72/74
= 1 + 72/74
= 1 72/74
146/74 = 1 72/74
Hence,
146/74 as a mixed number is 1 72/74
where,
146/74 is a given fraction,
1 72/74 is the mixed number representation of 146/74.
The below work with steps provide the detailed information about how to convert fraction 146/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 146/74
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 146/74.
step 2 The numerator is greater than the denominator of the fraction 146/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 146/74
= 74 + 72/74
step 3 Make the above expression as individual fractions:
= 74/74 + 72/74
step 4 Simplify the above expression:
= 1 x 74/74 + 72/74
= 1 + 72/74
= 1 + 36 x 2/37 x 2
= 1 + 36/37
1 + 36/37 can be written as a mixed number 1 36/37.
step 5 Find the decimal equivalent for the fractional part 36/37 in the above expression:
= 1 + 0.973
= 1.973
146/74 = 1.973
Hence,
146/74 as a decimal is 1.973
146/74 as a mixed number is 1 36/37