140/116 as a decimal and mixed number expansion provides the detailed information about what is 140/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
140/116 as a Decimal
140/116 = 1.2069
Hence,
140/116 as a decimal equals to 1.2069
where,
140/116 is a given fraction,
The decimal expansion of 140/116 is 1.2069
140/116 as a Mixed Number
140/116 = (116 + 24)/116
= 116/116 + 24/116
= 1 + 24/116
= 1 24/116
140/116 = 1 24/116
Hence,
140/116 as a mixed number is 1 24/116
where,
140/116 is a given fraction,
1 24/116 is the mixed number representation of 140/116.
The below work with steps provide the detailed information about how to convert fraction 140/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 140/116
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 140/116.
step 2 The numerator is greater than the denominator of the fraction 140/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 140/116
= 116 + 24/116
step 3 Make the above expression as individual fractions:
= 116/116 + 24/116
step 4 Simplify the above expression:
= 1 x 116/116 + 24/116
= 1 + 24/116
= 1 + 6 x 4/29 x 4
= 1 + 6/29
1 + 6/29 can be written as a mixed number 1 6/29.
step 5 Find the decimal equivalent for the fractional part 6/29 in the above expression:
= 1 + 0.2069
= 1.2069
140/116 = 1.2069
Hence,
140/116 as a decimal is 1.2069
140/116 as a mixed number is 1 6/29