Which equivalent fraction would you have to use in order to add 3/5 to 21/25
The correct answer and explanation is:
To add 35\frac{3}{5} to 2125\frac{21}{25}, you need to find an equivalent fraction for 35\frac{3}{5} that has the same denominator as 2125\frac{21}{25}. The key here is to make the denominators the same so that you can easily add the numerators.
Step-by-step solution:
- Find the Least Common Denominator (LCD):
The denominators are 5 and 25. The least common denominator of 5 and 25 is 25, since 25 is a multiple of 5. - Convert 35\frac{3}{5} to an equivalent fraction with a denominator of 25:
To convert 35\frac{3}{5} to a fraction with a denominator of 25, you need to multiply both the numerator and denominator by 5 (since 5×5=255 \times 5 = 25): 35=3×55×5=1525\frac{3}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25} - Add the two fractions:
Now that both fractions have the same denominator (25), you can add the numerators directly: 1525+2125=15+2125=3625\frac{15}{25} + \frac{21}{25} = \frac{15 + 21}{25} = \frac{36}{25}
Final Answer:
The equivalent fraction for 35\frac{3}{5} is 1525\frac{15}{25}. The sum of 35+2125\frac{3}{5} + \frac{21}{25} is 3625\frac{36}{25}.
Explanation:
The process of adding fractions requires a common denominator, so you must first find an equivalent fraction with a denominator that matches the other fraction. In this case, converting 35\frac{3}{5} into 1525\frac{15}{25} allows you to add it to 2125\frac{21}{25}. By ensuring both fractions have the same denominator, you avoid the need for complex fraction addition rules and can simply add the numerators.