98/56 as a decimal and mixed number expansion provides the detailed information about what is 98/56 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
98/56 as a Decimal
98/56 = 1.75
Hence,
98/56 as a decimal equals to 1.75
where,
98/56 is a given fraction,
The decimal expansion of 98/56 is 1.75
98/56 as a Mixed Number
98/56 = (56 + 42)/56
= 56/56 + 42/56
= 1 + 42/56
= 1 42/56
98/56 = 1 42/56
Hence,
98/56 as a mixed number is 1 42/56
where,
98/56 is a given fraction,
1 42/56 is the mixed number representation of 98/56.
The below work with steps provide the detailed information about how to convert fraction 98/56 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 98/56
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 98/56.
step 2 The numerator is greater than the denominator of the fraction 98/56, so write the given fraction in the expression form in terms of denominator as like the below:
= 98/56
= 56 + 42/56
step 3 Make the above expression as individual fractions:
= 56/56 + 42/56
step 4 Simplify the above expression:
= 1 x 56/56 + 42/56
= 1 + 42/56
= 1 + 3 x 14/4 x 14
= 1 + 3/4
1 + 3/4 can be written as a mixed number 1 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (3/4 x 25/25)
= 1 + 75/100
step 6 Simplify the above expression further:
= 1 + 0.75
= 1.75
98/56 = 1.75
Hence,
98/56 as a decimal is 1.75
98/56 as a mixed number is 1 3/4