46/15 as a Decimal and Mixed Number
46/15 as a decimal and mixed number expansion provides the detailed information about what is 46/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
46/15 as a Decimal Expansion
46/15 = 3.0667
Hence,
46/15 as a decimal equals to 3.0667
where,
46/15 is a given fraction,
The decimal expansion of 46/15 is 3.0667
46/15 as a Mixed Number
46/15 = (45 + 1)/15
= 45/15 + 1/15
= 3 + 1/15
= 3 1/15
46/15 = 3 1/15
Hence,
46/15 as a mixed number is 3 1/15
where,
46/15 is a given fraction,
3 1/15 is the mixed number representation of 46/15.
How-to: 46/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 46/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/15.
step 2 The numerator is greater than the denominator of the fraction 46/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/15
= 45 + 1/15
= (3 x 15) + 1/15
step 3 Make the above expression as individual fractions:
= (3 x 15)/15 + 1/15
step 4 Simplify the above expression:
= 3 x 15/15 + 1/15
= 3 + 1/15
3 + 1/15 can be written as a mixed number 3 1/15.
step 5 Find the decimal equivalent for the fractional part 1/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/15. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/15.
= 3 + (1/15 x 100/100)
step 6 Simplify the above expression further:
= 3 + (100/15 x 1/100)
= 3 + (90 + 10/15 x 1/100)
= 3 + [(90/15 + 10/15 ) x 1/100]
= 3 + [(6 + 10/15) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/15 in the above expression:
= 3 + [(6 + 10/15) x 1/100]
= 3 + [(6 + 0.67) x 1/100]
= 3 + (6.67 x 1/100)
= 3 + 6.67/100
= 3 + 0.0667
step 8 Find the sum of above expression:
= 3 + 0.0667
= 3.0667
46/15 = 3.0667
Hence,
46/15 as a decimal is 3.0667
46/15 as a mixed number is 3 1/15