The answer would be [tex]\frac{63}{20}[/tex] or [tex]3\frac{3}{20}[/tex].
Step-by-step explanation:
Convert the mixed number into an improper fraction. [tex]2\frac{2}{5}[/tex]
How to convert a mixed number into an improper fraction? - Multiply the whole number by the denominator. - Add the product that you got to the numerator. That would be your new numerator. - Just rewrite your denominator.
Proceed with addition, if the denominator of both addends aren't the same, find their LCD. 5: 5, 10, 15, 20 4: 4, 8, 12, 16, 20 LCD: 20
The new denominator would be 20. To find the numerator of both addends, divide the new denominator, 20, by your old denominator, then multiplied it by your new numerator. [tex]\frac{12}{5}\\ \frac{48}{20}[/tex] ⇒ 20÷5 = 4×12 = 48 (New Numerator) [tex]\frac{3}{4} \\\frac{15}{20}[/tex] ⇒20÷4 = 5×3 = 15 (New Numerator)
Add the new terms. [tex]\frac{48}{20} +\frac{15}{20}=\frac{63}{20}[/tex]
Answers & Comments
Answer:
3 3/20
Step-by-step explanation:
2 2/5 + 3/4
Add the whole numbers:
•2+0
Combine: 2/5, 3/4
•LCM of 5, 4 = 20
Adjust based on LCM:
•for 2/5, multiply the denominator and numerator by 4
•2•4/5•4 = 8/20
•for 3/4, multiply the denominator and numerator by 5
•3•5/4•5 = 15/20
Add: 8/20, 15/20
Since the denominators are equal, combine fractions:
•8+15/20
•23/20
Then, 2 + 23/20
Convert improper fraction to mixed: 23/20 = 1 3/20
Then 2+1 3/20 =
Answer: 3 3/20
Answer:
The answer would be [tex]\frac{63}{20}[/tex] or [tex]3\frac{3}{20}[/tex].
Step-by-step explanation:
[tex]2\frac{2}{5}[/tex]
- Multiply the whole number by the denominator.
- Add the product that you got to the numerator. That would be
your new numerator.
- Just rewrite your denominator.
[tex]2\frac{2}{5} \\\\ \frac{10+2}{5}\\\\ \frac{12}{5}[/tex]
5: 5, 10, 15, 20
4: 4, 8, 12, 16, 20
LCD: 20
[tex]\frac{12}{5}\\ \frac{48}{20}[/tex] ⇒ 20÷5 = 4×12 = 48 (New Numerator)
[tex]\frac{3}{4} \\\frac{15}{20}[/tex] ⇒20÷4 = 5×3 = 15 (New Numerator)
[tex]\frac{48}{20} +\frac{15}{20}=\frac{63}{20}[/tex]