What is 4 3/8x1 2/5, in simplest form
(4 3/8)(1 2/5)
= (35/8)(7/5)
= 35*7/(8*5)
= 7*7/8
= 49/8
Use either brackets or * to show multiplication
To find the product of mixed numbers, we need to convert them into improper fractions, then multiply the fractions together, and finally simplify the result to its simplest form.
First, let's convert the mixed numbers to improper fractions:
4 3/8 = (4 * 8 + 3) / 8 = 35/8
1 2/5 = (1 * 5 + 2) / 5 = 7/5
Now we can multiply the fractions:
(35/8) * (7/5) = (35 * 7) / (8 * 5) = 245/40
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
245/40 = (245 ÷ 5) / (40 ÷ 5) = 49/8
So, 4 3/8 multiplied by 1 2/5, in simplest form, is equal to 49/8.
To multiply mixed numbers, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. Write the result over the denominator.
4 3/8 becomes (4 * 8 + 3) / 8 = 35/8
1 2/5 becomes (1 * 5 + 2) / 5 = 7/5
Step 2: Multiply the two fractions.
Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
(35/8) * (7/5) = (35 * 7) / (8 * 5) = 245/40
Step 3: Simplify the fraction.
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD.
The GCD of 245 and 40 is 5. Divide both numerator and denominator by 5.
245/40 ÷ 5/5 = (245 ÷ 5) / (40 ÷ 5) = 49/8
So, the product of 4 3/8 and 1 2/5, in simplest form, is 49/8.