350/49 as a Decimal and Mixed Number

350/49 as a decimal and mixed number expansion provides the detailed information about what is 350/49 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

350/49 as a Decimal
350/49 = 7.1429
Hence,
350/49 as a decimal equals to 7.1429
where,
350/49 is a given fraction,
The decimal expansion of 350/49 is 7.1429

350/49 as a Mixed Number
350/49 = (343 + 7)/49
= 343/49 + 7/49
= 7 + 7/49
= 7 7/49
350/49 = 7 7/49

Hence,
350/49 as a mixed number is 7 ⁷/₄₉
where,
350/49 is a given fraction,
7 ⁷/₄₉ is the mixed number representation of 350/49.

The below work with steps provide the detailed information about how to convert fraction 350/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 350/49

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 350/49.

step 2 The numerator is greater than the denominator of the fraction 350/49, so write the given fraction in the expression form in terms of denominator as like the below:
= 350/49
= 343 + 7/49
= (7 x 49) + 7/49

step 3 Make the above expression as individual fractions:
= (7 x 49)/49 + 7/49

step 4 Simplify the above expression:
= 7 x 49/49 + 7/49
= 7 + 7/49
= 7 + 1 x 7/7 x 7
= 7 + 1/7
7 + 1/7 can be written as a mixed number 7 ¹/₇.


step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
= 7 + 0.1429
= 7.1429
350/49 = 7.1429

Hence,
350/49 as a decimal is 7.1429
350/49 as a mixed number is 7 ¹/₇