93/56 as a decimal and mixed number expansion provides the detailed information about what is 93/56 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
93/56 as a Decimal Expansion
93/56 = 1.6607
Hence,
93/56 as a decimal equals to 1.6607
where,
93/56 is a given fraction,
The decimal expansion of 93/56 is 1.6607
93/56 as a Mixed Number
93/56 = (56 + 37)/56
= 56/56 + 37/56
= 1 + 37/56
= 1 37/56
93/56 = 1 37/56
Hence,
93/56 as a mixed number is 1 37/56
where,
93/56 is a given fraction,
1 37/56 is the mixed number representation of 93/56.
The below work with steps provide the detailed information about how to convert fraction 93/56 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 93/56
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 93/56.
step 2 The numerator is greater than the denominator of the fraction 93/56, so write the given fraction in the expression form in terms of denominator as like the below:
= 93/56
= 56 + 37/56
step 3 Make the above expression as individual fractions:
= 56/56 + 37/56
step 4 Simplify the above expression:
= 1 x 56/56 + 37/56
= 1 + 37/56
1 + 37/56 can be written as a mixed number 1 37/56.
step 5 Find the decimal equivalent for the fractional part 37/56 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 37/56. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 37/56.
= 1 + (37/56 x 10/10)
step 6 Simplify the above expression further:
= 1 + (370/56 x 1/10)
= 1 + (336 + 34/56 x 1/10)
= 1 + [(336/56 + 34/56 ) x 1/10]
= 1 + [(6 + 34/56) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 34/56 in the above expression:
= 1 + [(6 + 34/56) x 1/10]
= 1 + [(6 + 0.61) x 1/10]
= 1 + (6.61 x 1/10)
= 1 + 6.61/10
= 1 + 0.661
step 8 Find the sum of above expression:
= 1 + 0.661
= 1.661
93/56 = 1.661
Hence,
93/56 as a decimal is 1.661
93/56 as a mixed number is 1 37/56