355/75 as a decimal and mixed number expansion provides the detailed information about what is 355/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
355/75 as a Decimal
355/75 = 4.7333
Hence,
355/75 as a decimal equals to 4.7333
where,
355/75 is a given fraction,
The decimal expansion of 355/75 is 4.7333
355/75 as a Mixed Number
355/75 = (300 + 55)/75
= 300/75 + 55/75
= 4 + 55/75
= 4 55/75
355/75 = 4 55/75
Hence,
355/75 as a mixed number is 4 55/75
where,
355/75 is a given fraction,
4 55/75 is the mixed number representation of 355/75.
The below work with steps provide the detailed information about how to convert fraction 355/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/75.
step 2 The numerator is greater than the denominator of the fraction 355/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/75
= 300 + 55/75
= (4 x 75) + 55/75
step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 55/75
step 4 Simplify the above expression:
= 4 x 75/75 + 55/75
= 4 + 55/75
= 4 + 11 x 5/15 x 5
= 4 + 11/15
4 + 11/15 can be written as a mixed number 4 11/15.
step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 4 + 0.7333
= 4.7333
355/75 = 4.7333
Hence,
355/75 as a decimal is 4.7333
355/75 as a mixed number is 4 11/15