158/126 as a decimal and mixed number expansion provides the detailed information about what is 158/126 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
158/126 as a Decimal
158/126 = 1.254
Hence,
158/126 as a decimal equals to 1.254
where,
158/126 is a given fraction,
The decimal expansion of 158/126 is 1.254
158/126 as a Mixed Number
158/126 = (126 + 32)/126
= 126/126 + 32/126
= 1 + 32/126
= 1 32/126
158/126 = 1 32/126
Hence,
158/126 as a mixed number is 1 32/126
where,
158/126 is a given fraction,
1 32/126 is the mixed number representation of 158/126.
The below work with steps provide the detailed information about how to convert fraction 158/126 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 158/126
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 158/126.
step 2 The numerator is greater than the denominator of the fraction 158/126, so write the given fraction in the expression form in terms of denominator as like the below:
= 158/126
= 126 + 32/126
step 3 Make the above expression as individual fractions:
= 126/126 + 32/126
step 4 Simplify the above expression:
= 1 x 126/126 + 32/126
= 1 + 32/126
= 1 + 16 x 2/63 x 2
= 1 + 16/63
1 + 16/63 can be written as a mixed number 1 16/63.
step 5 Find the decimal equivalent for the fractional part 16/63 in the above expression:
= 1 + 0.254
= 1.254
158/126 = 1.254
Hence,
158/126 as a decimal is 1.254
158/126 as a mixed number is 1 16/63