Dinah spends 1/5 of her homework time on math and 2/3 of it on writing. What fraction of her homework time is spent on math and writing? Simplify the answer if possible.
To add these two fractions, we need to find a common denominator. The least common multiple of 5 and 3 is 15.
Dinah spends 1/5 of her homework time on math, which is equal to 3/15.
Dinah spends 2/3 of her homework time on writing, which is equal to 10/15.
To find the total fraction of her homework time spent on math and writing, we can add these two:
3/15 + 10/15 = 13/15
Therefore, Dinah spends 13/15 of her homework time on math and writing.
To find the fraction of Dinah's homework time spent on math and writing, we need to add the fractions representing the time spent on math and writing.
The fraction representing the time spent on math is 1/5.
The fraction representing the time spent on writing is 2/3.
To add these fractions, we need to find a common denominator.
The common denominator for 5 and 3 is 15.
To convert the fraction 1/5 to have a denominator of 15, we multiply the numerator and denominator by 3:
1/5 * 3/3 = 3/15
To convert the fraction 2/3 to have a denominator of 15, we multiply the numerator and denominator by 5:
2/3 * 5/5 = 10/15
Now we can add the fractions:
3/15 + 10/15 = 13/15
Therefore, Dinah spends 13/15 of her homework time on math and writing.