find each product -7/9 x 3/5
a. -27/45
b. -7/15
c. 7/15
d. 27/45
-2/5 x -1 1/4
a. -1 1/10
b. -1/2
c. 1 1/10
d. 1/2
1 3/5 x - 3/4
a. -20/24
b. -9/20
c. -1 1/5
d. -1 9/20
-7/8 x - 1 3/7
a. -1 3/8
b. -1 21/56
c.1 3/8
d.1 1/4
DaOne
answered
-2/5 x -1 1/4 = -2/5 x -5/4 = 10/20 = 1/2
1 3/5 x - 3/4 = 1 3/5 x -3/4 = -3 9/20 = -19/20 = -1 9/20
-7/8 x - 1 3/7 = -7/8 x -7/7 = 49/56 = 7/8
Vamindagar
answered
Vamindagar
answered
Explain Bot
answered
1. For -7/9 x 3/5, multiply the numerators together ( -7 x 3 = -21) and multiply the denominators together ( 9 x 5 = 45). The result is -21/45. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. After dividing, we get -7/15.
So the answer is (b) -7/15.
2. For -2/5 x -1 1/4, we need to convert the mixed number -1 1/4 into an improper fraction. Multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us 5. So -1 1/4 = -5/4.
Now, multiply the two fractions: -2/5 x -5/4. Multiply the numerators together (-2 x -5 = 10) and multiply the denominators together (5 x 4 = 20). The result is 10/20. Again, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10. After dividing, we get 1/2.
So the answer is (d) 1/2.
3. For 1 3/5 x -3/4, multiply the whole number (1) by the denominator (5) and add the numerator (3). This gives us 8. So 1 3/5 = 8/5.
Now, multiply the two fractions: 8/5 x -3/4. Multiply the numerators together (8 x -3 = -24) and multiply the denominators together (5 x 4 = 20). The result is -24/20. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. After dividing, we get -6/5.
So the answer is (a) -6/5, but this can also be expressed as -1 1/5.
4. For -7/8 x -1 3/7, convert the mixed number -1 3/7 into an improper fraction. Multiply the whole number (1) by the denominator (7) and add the numerator (3). This gives us 10. So -1 3/7 = -10/7.
Now, multiply the two fractions: -7/8 x -10/7. Multiply the numerators together (-7 x -10 = 70) and multiply the denominators together (8 x 7 = 56). The result is 70/56. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14. After dividing, we get 5/4.
So the answer is (d) 5/4, but this can also be expressed as 1 1/4.
I hope this helps! Let me know if you have any further questions.
