315/49 as a Decimal and Mixed Number

315/49 as a decimal and mixed number expansion provides the detailed information about what is 315/49 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/49 as a Decimal
315/49 = 6.4286
Hence,
315/49 as a decimal equals to 6.4286
where,
315/49 is a given fraction,
The decimal expansion of 315/49 is 6.4286

315/49 as a Mixed Number
315/49 = (294 + 21)/49
= 294/49 + 21/49
= 6 + 21/49
= 6 21/49
315/49 = 6 21/49

Hence,
315/49 as a mixed number is 6 ²¹/₄₉
where,
315/49 is a given fraction,
6 ²¹/₄₉ is the mixed number representation of 315/49.

The below work with steps provide the detailed information about how to convert fraction 315/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/49

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/49.

step 2 The numerator is greater than the denominator of the fraction 315/49, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/49
= 294 + 21/49
= (6 x 49) + 21/49

step 3 Make the above expression as individual fractions:
= (6 x 49)/49 + 21/49

step 4 Simplify the above expression:
= 6 x 49/49 + 21/49
= 6 + 21/49
= 6 + 3 x 7/7 x 7
= 6 + 3/7
6 + 3/7 can be written as a mixed number 6 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 6 + 0.4286
= 6.4286
315/49 = 6.4286

Hence,
315/49 as a decimal is 6.4286
315/49 as a mixed number is 6 ³/₇