Divide 3.528 by 0.49.(1 point)
Responses
72
72
7.2
7.2
0.072
0.072
0.72
0.72
To divide 3.528 by 0.49, follow these steps:
Step 1: Rewrite the given numbers as fractions:
3.528 = 3528/1000
0.49 = 49/100
Step 2: Invert the divisor (0.49) and multiply it by the dividend (3.528):
(3528/1000) * (100/49)
Step 3: Simplify the fractions by canceling out common factors:
(3528 * 100) / (1000 * 49)
Step 4: Multiply the numerator and denominator:
352800 / 49000
Step 5: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 200:
(352800/200) / (49000/200)
Step 6: Divide both numerator and denominator:
1764 / 245
Step 7: Simplify the fraction further if possible:
1764/245 = 7.2
Therefore, the result of dividing 3.528 by 0.49 is 7.2.