357/336 as a Decimal and Mixed Number

357/336 as a decimal and mixed number expansion provides the detailed information about what is 357/336 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/336 as a Decimal
357/336 = 1.0625
Hence,
357/336 as a decimal equals to 1.0625
where,
357/336 is a given fraction,
The decimal expansion of 357/336 is 1.0625

357/336 as a Mixed Number
357/336 = (336 + 21)/336
= 336/336 + 21/336
= 1 + 21/336
= 1 21/336
357/336 = 1 21/336

Hence,
357/336 as a mixed number is 1 ²¹/₃₃₆
where,
357/336 is a given fraction,
1 ²¹/₃₃₆ is the mixed number representation of 357/336.

The below work with steps provide the detailed information about how to convert fraction 357/336 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/336

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/336.

step 2 The numerator is greater than the denominator of the fraction 357/336, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/336
= 336 + 21/336

step 3 Make the above expression as individual fractions:
= 336/336 + 21/336

step 4 Simplify the above expression:
= 1 x 336/336 + 21/336
= 1 + 21/336
= 1 + 1 x 21/16 x 21
= 1 + 1/16
1 + 1/16 can be written as a mixed number 1 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (1/16 x 625/625)
= 1 + 625/10000

step 6 Simplify the above expression further:
= 1 + 0.0625
= 1.0625
357/336 = 1.0625

Hence,
357/336 as a decimal is 1.0625
357/336 as a mixed number is 1 ¹/₁₆