به انگلیسی

Mixed and Improper Fractions

ریاضی · کسرها · سن ۱۱ تا ۱۳ سال

نام ______________________ تاریخ ____________

The improper fraction 11/4 is the same as the mixed number 2 3/4.
دور یکی دایره کشیدن: درست نادرست
What is 2 3/4 + 5?
- 7 3/4
- 6 3/4
- 7 1/4
- 8 3/4
Which mixed number equals 9/4?
- 2 1/4
- 4 1/4
- 2 1/2
In a mixed number, a negative sign applies to the whole number and the fraction together, not just the whole number.
دور یکی دایره کشیدن: درست نادرست
What is 3 2/5 written as an improper fraction?
- 17/5
- 15/5
- 6/5
- 32/5
Work out 1 1/2 x 2/3.
- 1
- 1/3
- 9/4
Work out -1 1/2 + 3/4.
- -1/4
- 3/4
- -3/4
What is 2 1/4 written as an improper fraction? Type just the numerator (the denominator stays 4).
پاسخ: ______________
Work out -3/4 + 1/2 - 1 1/4 using written methods.
- 1 1/2
- -2 1/2
- -1 1/2
Nina works out -1 1/2 as -1 + 1/2, getting -1/2. What went wrong?
- She used the wrong denominator
- She made only the whole number negative, not the whole mixed number
- She added the numerators without a common denominator

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درست · Divide 11 by 4 and you get 2 with a remainder of 3, which becomes 2 3/4.
7 3/4 · When you add a mixed number and a whole number, the fraction part stays the same.
2 1/4 · 9 divided by 4 is 2 with remainder 1, so 9/4 = 2 1/4.
درست · -1 1/2 means -(1 1/2), which is -3/2. The whole mixed number is negative.
17/5 · Multiply the whole number by the denominator, add the numerator, and keep the same denominator.
1 · Convert 1 1/2 to 3/2, then multiply: 3/2 x 2/3 = 6/6 = 1.
-3/4 · Convert -1 1/2 to -6/4, then add 3/4: -6/4 + 3/4 = -3/4.
9 · 2 x 4 = 8, then 8 + 1 = 9, so 2 1/4 = 9/4.
-1 1/2 · Convert every term to quarters: -3/4 + 2/4 - 5/4 = -6/4, which simplifies to -1 1/2.
She made only the whole number negative, not the whole mixed number · -1 1/2 means the whole amount is negative: -1 1/2 = -3/2. Splitting the sign from the fraction part changes the value.