To simplify the given expression, we can first convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = (4 * 1 + 3) / 4 = 7/4
So, the expression becomes:
4/9 * 7/4
To multiply fractions, we multiply the numerators and then multiply the denominators:
(4 * 7) / (9 * 4) = 28/36
Both 28 and 36 are divisible by 4, so we can simplify the fraction further:
28/36 = (7 * 4) / (9 * 4) = 7/9
Therefore, the simplified form of the expression is 7/9.
4/9 x 1 3/4 in simplest form
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5/6 x 2 3/4 in mixed number
To find the product of 5/6 and 2 3/4, we can first convert the mixed number 2 3/4 to an improper fraction.
2 3/4 = (4 * 2 + 3) / 4 = 11/4
So, the expression becomes:
5/6 * 11/4
To multiply fractions, we multiply the numerators and then multiply the denominators:
(5 * 11) / (6 * 4) = 55/24
To convert this improper fraction back to mixed number form, we divide the numerator by the denominator:
55 ÷ 24 = 2 remainder 7
The quotient 2 represents the whole number part, and the remainder 7 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the result is 2 7/24.
2 3/4 = (4 * 2 + 3) / 4 = 11/4
So, the expression becomes:
5/6 * 11/4
To multiply fractions, we multiply the numerators and then multiply the denominators:
(5 * 11) / (6 * 4) = 55/24
To convert this improper fraction back to mixed number form, we divide the numerator by the denominator:
55 ÷ 24 = 2 remainder 7
The quotient 2 represents the whole number part, and the remainder 7 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the result is 2 7/24.
2 1/3 x 2 1/5 mixed form
To find the product of 2 1/3 and 2 1/5, we can first convert both mixed numbers into improper fractions.
2 1/3 = (3 * 2 + 1) / 3 = 7/3
2 1/5 = (5 * 2 + 1) / 5 = 11/5
So, the expression becomes:
7/3 * 11/5
To multiply fractions, we multiply the numerators and then multiply the denominators:
(7 * 11) / (3 * 5) = 77/15
To convert this improper fraction back to mixed number form, we divide the numerator by the denominator:
77 ÷ 15 = 5 remainder 2
The quotient 5 represents the whole number part, and the remainder 2 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the result is 5 2/15.
2 1/3 = (3 * 2 + 1) / 3 = 7/3
2 1/5 = (5 * 2 + 1) / 5 = 11/5
So, the expression becomes:
7/3 * 11/5
To multiply fractions, we multiply the numerators and then multiply the denominators:
(7 * 11) / (3 * 5) = 77/15
To convert this improper fraction back to mixed number form, we divide the numerator by the denominator:
77 ÷ 15 = 5 remainder 2
The quotient 5 represents the whole number part, and the remainder 2 becomes the numerator of the fractional part. The denominator remains the same.
Therefore, the result is 5 2/15.