2/4 + 9/10 as a mixed number

Answer 1

To convert the sum of 2/4 and 9/10 into a mixed number, we need to find a common denominator for the two fractions.

The common denominator can be found by multiplying the denominators together: 4 * 10 = 40.

Now, let's convert each fraction to have a denominator of 40.

2/4 can be converted to an equivalent fraction with a denominator of 40 by multiplying both the numerator and denominator by 10. This gives us (2 * 10) / (4 * 10) = 20/40.

9/10 can be converted to an equivalent fraction with a denominator of 40 by multiplying both the numerator and denominator by 4. This gives us (9 * 4) / (10 * 4) = 36/40.

Now, let's add these two fractions together: 20/40 + 36/40 = 56/40.

Since the numerator (56) is larger than the denominator (40), we can divide the numerator by the denominator to find the whole number part. 56 ÷ 40 = 1 remainder 16.

Therefore, the mixed number equivalent of 2/4 + 9/10 is 1 16/40. However, we can simplify this mixed number further.

Both the numerator and denominator of 16/40 can be divided by 8. This gives us 2/5.

Therefore, the simplified mixed number equivalent of 2/4 + 9/10 is 1 2/5.