246/150 as a decimal and mixed number expansion provides the detailed information about what is 246/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
246/150 as a Decimal
246/150 = 1.64
Hence,
246/150 as a decimal equals to 1.64
where,
246/150 is a given fraction,
The decimal expansion of 246/150 is 1.64
246/150 as a Mixed Number
246/150 = (150 + 96)/150
= 150/150 + 96/150
= 1 + 96/150
= 1 96/150
246/150 = 1 96/150
Hence,
246/150 as a mixed number is 1 96/150
where,
246/150 is a given fraction,
1 96/150 is the mixed number representation of 246/150.
The below work with steps provide the detailed information about how to convert fraction 246/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 246/150
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 246/150.
step 2 The numerator is greater than the denominator of the fraction 246/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 246/150
= 150 + 96/150
step 3 Make the above expression as individual fractions:
= 150/150 + 96/150
step 4 Simplify the above expression:
= 1 x 150/150 + 96/150
= 1 + 96/150
= 1 + 16 x 6/25 x 6
= 1 + 16/25
1 + 16/25 can be written as a mixed number 1 16/25.
step 5 Find the decimal equivalent for the fractional part 16/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (16/25 x 4/4)
= 1 + 64/100
step 6 Simplify the above expression further:
= 1 + 0.64
= 1.64
246/150 = 1.64
Hence,
246/150 as a decimal is 1.64
246/150 as a mixed number is 1 16/25