180/157 as a decimal and mixed number expansion provides the detailed information about what is 180/157 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
180/157 as a Decimal
180/157 = 1.1465
Hence,
180/157 as a decimal equals to 1.1465
where,
180/157 is a given fraction,
The decimal expansion of 180/157 is 1.1465
180/157 as a Mixed Number
180/157 = (157 + 23)/157
= 157/157 + 23/157
= 1 + 23/157
= 1 23/157
180/157 = 1 23/157
Hence,
180/157 as a mixed number is 1 23/157
where,
180/157 is a given fraction,
1 23/157 is the mixed number representation of 180/157.
The below work with steps provide the detailed information about how to convert fraction 180/157 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/157
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/157.
step 2 The numerator is greater than the denominator of the fraction 180/157, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/157
= 157 + 23/157
step 3 Make the above expression as individual fractions:
= 157/157 + 23/157
step 4 Simplify the above expression:
= 1 x 157/157 + 23/157
= 1 + 23/157
1 + 23/157 can be written as a mixed number 1 23/157.
step 5 Find the decimal equivalent for the fractional part 23/157 in the above expression:
= 1 + 0.1465
= 1.1465
180/157 = 1.1465
Hence,
180/157 as a decimal is 1.1465
180/157 as a mixed number is 1 23/157