310/245 as a Decimal and Mixed Number

310/245 as a decimal and mixed number expansion provides the detailed information about what is 310/245 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/245 as a Decimal
310/245 = 1.2653
Hence,
310/245 as a decimal equals to 1.2653
where,
310/245 is a given fraction,
The decimal expansion of 310/245 is 1.2653

310/245 as a Mixed Number
310/245 = (245 + 65)/245
= 245/245 + 65/245
= 1 + 65/245
= 1 65/245
310/245 = 1 65/245

Hence,
310/245 as a mixed number is 1 ⁶⁵/₂₄₅
where,
310/245 is a given fraction,
1 ⁶⁵/₂₄₅ is the mixed number representation of 310/245.

The below work with steps provide the detailed information about how to convert fraction 310/245 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/245

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/245.

step 2 The numerator is greater than the denominator of the fraction 310/245, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/245
= 245 + 65/245

step 3 Make the above expression as individual fractions:
= 245/245 + 65/245

step 4 Simplify the above expression:
= 1 x 245/245 + 65/245
= 1 + 65/245
= 1 + 13 x 5/49 x 5
= 1 + 13/49
1 + 13/49 can be written as a mixed number 1 ¹³/₄₉.


step 5 Find the decimal equivalent for the fractional part 13/49 in the above expression:
= 1 + 0.2653
= 1.2653
310/245 = 1.2653

Hence,
310/245 as a decimal is 1.2653
310/245 as a mixed number is 1 ¹³/₄₉