320/175 as a Decimal and Mixed Number

320/175 as a decimal and mixed number expansion provides the detailed information about what is 320/175 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/175 as a Decimal
320/175 = 1.8286
Hence,
320/175 as a decimal equals to 1.8286
where,
320/175 is a given fraction,
The decimal expansion of 320/175 is 1.8286

320/175 as a Mixed Number
320/175 = (175 + 145)/175
= 175/175 + 145/175
= 1 + 145/175
= 1 145/175
320/175 = 1 145/175

Hence,
320/175 as a mixed number is 1 ¹⁴⁵/₁₇₅
where,
320/175 is a given fraction,
1 ¹⁴⁵/₁₇₅ is the mixed number representation of 320/175.

The below work with steps provide the detailed information about how to convert fraction 320/175 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/175

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/175.

step 2 The numerator is greater than the denominator of the fraction 320/175, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/175
= 175 + 145/175

step 3 Make the above expression as individual fractions:
= 175/175 + 145/175

step 4 Simplify the above expression:
= 1 x 175/175 + 145/175
= 1 + 145/175
= 1 + 29 x 5/35 x 5
= 1 + 29/35
1 + 29/35 can be written as a mixed number 1 ²⁹/₃₅.


step 5 Find the decimal equivalent for the fractional part 29/35 in the above expression:
= 1 + 0.8286
= 1.8286
320/175 = 1.8286

Hence,
320/175 as a decimal is 1.8286
320/175 as a mixed number is 1 ²⁹/₃₅