What is 23/48 plus 15/21?
23/48 plus 15/21 equals 401/336 (or 1 65/336 as a mixed number) (or 1.193452 in decimal form). Learn the step-by-step solution to add 23/48 and 15/21 using Least Common Denominator and simplification.
Exact Answer
23/48 + 15/21 = 401/336
Simplified Fraction
401/336
Mixed Number
1 65/336
Decimal Value
1.193452
Percentage
119.3452%
Step-by-Step Solution: 23/48 + 15/21
Step 1
Find the Least Common Denominator (LCD)
The denominators 48 and 21 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 336 (which is smaller than their product 48 × 21 = 1008, keeping the calculation simpler).
LCD(48, 21) = 336
Step 2
Convert to Equivalent Fractions with Common Denominator 336
Multiply the numerator and denominator of 23/48 by 7, and multiply the numerator and denominator of 15/21 by 16 so both fractions share the common base 336.
23 × 7/48 × 7 = 161/336 and 15 × 16/21 × 16 = 240/336
Step 3
Add the Numerators
Now add the numerators (161 + 240 = 401) and keep the common denominator 336 unchanged.
161 + 240/336 = 401/336
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 401 and 336 is 1, confirming that 401/336 cannot be reduced further—it is already in its simplest irreducible form.
401/336
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (401) is greater than the denominator (336), divide 401 by 336: it goes in 1 whole time(s) with a remainder of 65, giving the mixed number 1 65/336.
401/336 = 165/336
Step 6
Decimal & Percentage Representation
Dividing the numerator 401 by denominator 336 produces a repeating decimal (approximately 1.193452, or 119.3452%).
401 ÷ 336 = 1.193452 (119.3452%)
Visual Representation
The diagram below illustrates 23/48 plus 15/21 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 401/336 |
| Mixed Number Form | 1 65/336 |
| Decimal Form | 1.193452 |
| Percentage | 119.3452% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 23/48 plus 15/21 as a fraction?
23/48 + 15/21 in simplest fraction form is 401/336 (or 1 65/336 as a mixed number).
What is 23/48 plus 15/21 as a decimal?
23/48 + 15/21 converted to a decimal is 1.193452.
What is 23/48 plus 15/21 as a percentage?
23/48 + 15/21 expressed as a percentage is 119.3452%.
How do you write 23/48 plus 15/21 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 401/336 can be written as the mixed number 1 65/336.
Does 23/48 plus 15/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.193452...) because the denominator contains prime factors other than 2 and 5.