justin spends 7/9 of his homework time on math and social studies. He spends 4/7 of this time on math. What fraction of the total time does he spend on social studies?
Priya has a piece of string 5/6 yard long. She cuts 3/5 of the piece of string for her craft. What is the length of the string left?
To find the fraction of the total time Justin spends on social studies, we first need to calculate the fraction of time he spends on math.
Given that Justin spends 4/7 of his homework time on math, the fraction of time he spends on math is 4/7.
Next, since Justin spends 7/9 of his total homework time on both math and social studies, we can subtract the fraction of time he spends on math from 7/9 to find the fraction of time he spends on social studies.
Fraction of time spent on social studies = 7/9 - 4/7
Before we can subtract fractions, we need to find a common denominator. In this case, the least common denominator (LCD) is 9 * 7 = 63.
Now, let's convert both fractions:
7/9 = (7 * 7) / (9 * 7) = 49/63
4/7 = (4 * 9) / (7 * 9) = 36/63
Subtracting the fractions:
49/63 - 36/63 = (49 - 36) / 63 = 13/63
Therefore, Justin spends 13/63 of the total time on social studies.
To find the fraction of the total time Justin spends on social studies, we can subtract the fraction of time he spends on math from the total fraction of time he spends on math and social studies.
Justin spends 7/9 of his homework time on math and social studies.
Out of this time, he spends 4/7 on math.
To find the fraction of time he spends on social studies, we subtract 4/7 from 7/9.
First, we need to find a common denominator for 7/9 and 4/7. The least common multiple (LCM) of 9 and 7 is 63.
Now let's convert the fractions to have the common denominator of 63:
7/9 = (7/9) * (7/7) = 49/63
4/7 = (4/7) * (9/9) = 36/63
Now we can subtract 36/63 from 49/63:
49/63 - 36/63 = 13/63
Therefore, Justin spends 13/63 of the total time on social studies.