15/8 as a Decimal and Mixed Number

15/8 as a decimal and mixed number expansion provides detailed information about what is 15/8 in decimal and mixed number form, and the answer with steps helps students to easily understand how it is being calculated.

15/8 as a Decimal Expansion

15/8 = 1.875
Hence,
15/8 as a decimal equals 1.875
where,
15/8 is a given fraction,
The decimal expansion of 15/8 is 1.875

15/8 as a Mixed Number

15/8=(8 + 7)8
=8/8+7/8
= 1 +7/8
= 1 ⁷/₈
15/8= 1 ⁷/₈

Hence,
15/8 as a mixed number is 1 ⁷/₈
Where,
15/8 is a given fraction,
1 ⁷/₈ is the mixed number representation of 15/8.

How-to: 15/8 as a Decimal

The below work with steps provide detailed information about how to convert fraction 15/8 as a decimal equivalent.
Step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 15/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 15/8.

Step 2 The numerator is greater than the denominator of the fraction 15/8, so write the given fraction in the expression form in terms of the denominator as the below:
=15/8
=8 + 7/8

Step 3 Make the above expression as individual fractions:
=8/8+7/8

Step 4 Simplify the above expression:
=1 x 8/8+7/8
= 1 +7/8
1 + 7/8 can be written as a mixed number 1 ⁷/₈.

Step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/8. Since the number of digits is equal in both numerator and denominator, multiply 10 with both numerator and denominator of 7/8.
= 1 + (7/8×10/10)

Step 6 Simplify the above expression further:
= 1 + ⁷⁰/₈x¹/₁₀
= 1 + ( ⁶⁴⁺⁶/₈x¹/₁₀)
= 1 + [( ⁶⁴/₈+⁶/₈) x¹/₁₀]
= 1 + [(8 +^{^⁶/₈}) x¹/₁₀]

Step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/8 in the above expression:
= 1 + [(8 +^⁶/₈) x¹/₁₀]
= 1 + [(8 + 0.75) x¹/₁₀]
= 1 + (8.75 x¹/₁₀)
= 1 +^8.75/₁₀
= 1 + 0.875

Step 8 Find the sum of above expression:
= 1 + 0.875
= 1.875
¹⁵/₈= 1.875

Hence,
15/8 as a decimal is 1.875
15/8 as a mixed number is 1 ⁷/₈