Question

Find the sum by first making the denominators the same 2/10+36/100

Answer 1

To find the sum of 2/10 and 36/100, convert 2/10 to 20/100 by multiplying by 10/10, then add the numerators to get 56/100, and simplify to 14/25 by dividing by the common factor 4.

Step-by-step explanation:

To find the sum of two fractions with different denominators, we must first make the denominators the same. The two fractions in question are 2/10 and 36/100. To create common denominators, we notice that 100 is a multiple of 10, so we can easily convert 2/10 into a fraction that has a denominator of 100 by multiplying both the numerator and the denominator by 10. This gives us:

• 2/10 × (10/10) = 20/100

Now that both fractions have the denominator of 100, we can add the numerators directly while keeping the denominator the same:

• 20/100 + 36/100 = (20 + 36)/100
• = 56/100

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 4:

• 56/100 ÷ (4/4) = 14/25

Thus, the sum of the two fractions is 14/25.

Answer 2

we have that
2/10+36/100

step 1
multiply by (10/10) the number 2/10
2/10*(10/10)-----> 20/100

step 2
find the sum
(20/100)+(36/100)------> (20+36)/100-----> 56/100---> 28/50---> 14/25

the answer is
14/25