negative 4 and two-thirds times 1 and four-fifths
(-4)(1 4/5)
= (-4)(9/5)
= .....
(-4 2/3)(1 4/5)
= -14/3 * 9/5
= -42/5
To multiply negative 4 and two-thirds by 1 and four-fifths, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
Negative 4 and two-thirds can be written as -4 2/3, and 1 and four-fifths can be written as 1 4/5. Converting them to improper fractions will give us -4 2/3 = -14/3 and 1 4/5 = 9/5.
Step 2: Multiply the numerators together.
Multiply the numerators of the two fractions: -14/3 * 9/5 = (-14 * 9) / (3 * 5) = -126/15.
Step 3: Simplify the resulting fraction, if possible.
To simplify the fraction -126/15, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3. So, -126/15 simplifies to -42/5.
Therefore, negative 4 and two-thirds times 1 and four-fifths is equal to -42/5.
To multiply mixed numbers like negative 4 and two-thirds times 1 and four-fifths, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
- To convert the mixed number negative 4 and two-thirds to an improper fraction, multiply the whole number (-4) by the denominator (3), then add the numerator (2). This gives us (-4 * 3) + 2 = -12 + 2 = -10.
- The improper fraction for negative 4 and two-thirds is -10/3.
- To convert the mixed number 1 and four-fifths to an improper fraction, multiply the whole number (1) by the denominator (5), then add the numerator (4). This gives us (1 * 5) + 4 = 5 + 4 = 9.
- The improper fraction for 1 and four-fifths is 9/5.
Step 2: Multiply the two improper fractions.
- To multiply two fractions, multiply the numerators together, and multiply the denominators together.
- (-10/3) * (9/5) = (-10 * 9) / (3 * 5) = -90/15.
Step 3: Simplify the resulting fraction.
- If possible, simplify the resulting fraction by canceling out common factors between the numerator and the denominator.
- In this case, both -90 and 15 can be divided by 15, so the simplified form of -90/15 is -6/1, which equals -6.
Therefore, negative 4 and two-thirds times 1 and four-fifths equals -6.