jen spends 7/9 of her homeworck time on math&social studies. she spent 4/7 of her time on math. how long did she spend on social studies?
7/9 - 4/7 = ??
To find out how long Jen spent on social studies, we need to determine the fraction of her homework time that was dedicated to social studies.
We know that Jen spent 7/9 of her homework time on math and social studies combined. It is given that she spent 4/7 of her time on math.
To find the fraction of her time spent on social studies, we subtract the fraction of time spent on math from the overall fraction of time spent on math and social studies.
So, the fraction of time Jen spent on social studies can be calculated as:
Fraction of time spent on social studies = (Total time spent on math and social studies) - (Time spent on math)
= (7/9) - (4/7)
To subtract these fractions, we need to find the least common denominator (LCD), which is the lowest common multiple of the denominators 9 and 7. In this case, the LCD is 63. After obtaining a common denominator, we can subtract the numerators:
Fraction of time spent on social studies = [(7/9) × (7/7)] - [(4/7) × (9/9)]
= (49/63) - (36/63)
= 13/63
Therefore, Jen spent 13/63 of her homework time on social studies.