126/77 as a Decimal and Mixed Number

126/77 as a decimal and mixed number expansion provides the detailed information about what is 126/77 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

126/77 as a Decimal
126/77 = 1.6364
Hence,
126/77 as a decimal equals to 1.6364
where,
126/77 is a given fraction,
The decimal expansion of 126/77 is 1.6364

126/77 as a Mixed Number
126/77 = (77 + 49)/77
= 77/77 + 49/77
= 1 + 49/77
= 1 49/77
126/77 = 1 49/77

Hence,
126/77 as a mixed number is 1 ⁴⁹/₇₇
where,
126/77 is a given fraction,
1 ⁴⁹/₇₇ is the mixed number representation of 126/77.

The below work with steps provide the detailed information about how to convert fraction 126/77 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 126/77

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 126/77.

step 2 The numerator is greater than the denominator of the fraction 126/77, so write the given fraction in the expression form in terms of denominator as like the below:
= 126/77
= 77 + 49/77

step 3 Make the above expression as individual fractions:
= 77/77 + 49/77

step 4 Simplify the above expression:
= 1 x 77/77 + 49/77
= 1 + 49/77
= 1 + 7 x 7/11 x 7
= 1 + 7/11
1 + 7/11 can be written as a mixed number 1 ⁷/₁₁.


step 5 Find the decimal equivalent for the fractional part 7/11 in the above expression:
= 1 + 0.6364
= 1.6364
126/77 = 1.6364

Hence,
126/77 as a decimal is 1.6364
126/77 as a mixed number is 1 ⁷/₁₁