120/76 as a Decimal and Mixed Number

120/76 as a decimal and mixed number expansion provides the detailed information about what is 120/76 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/76 as a Decimal
120/76 = 1.5789
Hence,
120/76 as a decimal equals to 1.5789
where,
120/76 is a given fraction,
The decimal expansion of 120/76 is 1.5789

120/76 as a Mixed Number
120/76 = (76 + 44)/76
= 76/76 + 44/76
= 1 + 44/76
= 1 44/76
120/76 = 1 44/76

Hence,
120/76 as a mixed number is 1 ⁴⁴/₇₆
where,
120/76 is a given fraction,
1 ⁴⁴/₇₆ is the mixed number representation of 120/76.

The below work with steps provide the detailed information about how to convert fraction 120/76 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/76

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/76.

step 2 The numerator is greater than the denominator of the fraction 120/76, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/76
= 76 + 44/76

step 3 Make the above expression as individual fractions:
= 76/76 + 44/76

step 4 Simplify the above expression:
= 1 x 76/76 + 44/76
= 1 + 44/76
= 1 + 11 x 4/19 x 4
= 1 + 11/19
1 + 11/19 can be written as a mixed number 1 ¹¹/₁₉.


step 5 Find the decimal equivalent for the fractional part 11/19 in the above expression:
= 1 + 0.5789
= 1.5789
120/76 = 1.5789

Hence,
120/76 as a decimal is 1.5789
120/76 as a mixed number is 1 ¹¹/₁₉