46/3 as a Decimal and Mixed Number
46/3 as a decimal and mixed number expansion provides the detailed information about what is 46/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
46/3 as a Decimal Expansion
46/3 = 15.3333
Hence,
46/3 as a decimal equals to 15.3333
where,
46/3 is a given fraction,
The decimal expansion of 46/3 is 15.3333
46/3 as a Mixed Number
46/3 = (45 + 1)/3
= 45/3 + 1/3
= 15 + 1/3
= 15 1/3
46/3 = 15 1/3
Hence,
46/3 as a mixed number is 15 1/3
where,
46/3 is a given fraction,
15 1/3 is the mixed number representation of 46/3.
How-to: 46/3 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 46/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/3
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/3.
step 2 The numerator is greater than the denominator of the fraction 46/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/3
= 45 + 1/3
= (15 x 3) + 1/3
step 3 Make the above expression as individual fractions:
= (15 x 3)/3 + 1/3
step 4 Simplify the above expression:
= 15 x 3/3 + 1/3
= 15 + 1/3
15 + 1/3 can be written as a mixed number 15 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.
= 15 + (1/3 x 10/10)
step 6 Simplify the above expression further:
= 15 + (10/3 x 1/10)
= 15 + (9 + 1/3 x 1/10)
= 15 + [(9/3 + 1/3 ) x 1/10]
= 15 + [(3 + 1/3) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/3 in the above expression:
= 15 + [(3 + 1/3) x 1/10]
= 15 + [(3 + 0.33) x 1/10]
= 15 + (3.33 x 1/10)
= 15 + 3.33/10
= 15 + 0.333
step 8 Find the sum of above expression:
= 15 + 0.333
= 15.333
46/3 = 15.333
Hence,
46/3 as a decimal is 15.333
46/3 as a mixed number is 15 1/3