90/48 as a decimal and mixed number expansion provides the detailed information about what is 90/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
90/48 as a Decimal
90/48 = 1.875
Hence,
90/48 as a decimal equals to 1.875
where,
90/48 is a given fraction,
The decimal expansion of 90/48 is 1.875
90/48 as a Mixed Number
90/48 = (48 + 42)/48
= 48/48 + 42/48
= 1 + 42/48
= 1 42/48
90/48 = 1 42/48
Hence,
90/48 as a mixed number is 1 42/48
where,
90/48 is a given fraction,
1 42/48 is the mixed number representation of 90/48.
The below work with steps provide the detailed information about how to convert fraction 90/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/48
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/48.
step 2 The numerator is greater than the denominator of the fraction 90/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 90/48
= 48 + 42/48
step 3 Make the above expression as individual fractions:
= 48/48 + 42/48
step 4 Simplify the above expression:
= 1 x 48/48 + 42/48
= 1 + 42/48
= 1 + 7 x 6/8 x 6
= 1 + 7/8
1 + 7/8 can be written as a mixed number 1 7/8.
step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (7/8 x 125/125)
= 1 + 875/1000
step 6 Simplify the above expression further:
= 1 + 0.875
= 1.875
90/48 = 1.875
Hence,
90/48 as a decimal is 1.875
90/48 as a mixed number is 1 7/8