Тема: Множення дробу на натуральне число.
T.: First of all, we need to get
familiar with new items on the topic. You have cards(card#1). Look at the
cards. You have to read and study the new items.
How to
Multiply Mixed Fractions With Whole Numbers
●
To multiply any mixed numbers and whole numbers, write the
mixed numbers as a fractions. Write whole numbers over the denominator one. A
mixed number is a whole number and a fraction expressed together.
Steps for
Multiply mixed Fractions With Whole Numbers:
●
Step 1: Reduced mixed fraction and whole number to improper
fraction.
●
Step 2: Multiply the numerators of the fractions.
●
Step 3: Multiply the denominators.
●
Step 4: Simplify the fraction if needed.
Multiply a
Fraction and a Whole Number:
Multiply 4/5 and 3
Step 1: Change the whole number to a
fraction.
The number 3 is the fraction 3/1.
Step 2: Multiply the two fractions.
4/5 x 3/1 = 4Ч3/5Ч1 = 12/5
Mixed
Numbers
●
Mixed Numbers are fractions written as a natural number plus
a fraction where the denominator is greater than the numerator.
Mixed numbers are popular because
the integer part gives an indication of their size, but otherwise they have
little to recommend them. They form an exception (the only exception) to the
rule that a missing operator means multiplication, and they make the arithmetic
operations harder to carry out. We will not use them in this class and I
recommend you ignore their existence.
T.: Answer the questions:
Do the fraction multiplication
question, 4 x 2/3, by using repeated addition.
Redo the question, 4 x 2/3, by using a number
line.
Should the answers for part a) and part b) be
the same?
Do the fraction multiplication question, 2 x
3/4, by using repeated addition.
Redo the question, 2 x 3/4, by using fraction
circles (or bars).
Should the answers for part a) and part b) be
the same?
T.: Now, let's do some tasks (card#2).
1) Write the improper fraction
equivalent for each mixed number.
2) Convert these improper fractions
into mixed numbers. The answers do not have to be in the simplest form.
3) Solve each of the following
problems (card#3). Show your work.
a) Mark had 4 lengths of string.
Each string was 2/3 metres long. Mark combined
the four lengths into a long string.
How long would it be?
b) Janice walks in order to keep
fit. She walks 9/10 km each day. If she walked 12
days in a row, what would be the
total distance she walked?
c) Barb had 3/8 of a litre of orange
juice in the fridge. She poured 2/3 of it into a
glass to drink. How much orange
juice did she pour into the glass?
d) Jason bought 2 3/4 kg of candies.
He ate 1/5 of the candy right away. How
much candy did he eat?
Card#1
Read and study the tables:
Read and complete the table:
Card#2
Card#3
Solve each of the following
problems.
a) Mark had 4 lengths of string.
Each string was 2/3 metres long. Mark combined
the four lengths into a long string.
How long would it be?
b) Janice walks in order to keep
fit. She walks 9/10 km each day. If she walked 12
days in a row, what would be the
total distance she walked?
c) Barb had 3/8 of a litre of orange
juice in the fridge. She poured 2/3 of it into a
glass to drink. How much orange
juice did she pour into the glass?
d) Jason bought 2 3/4 kg of candies.
He ate 1/5 of the candy right away. How
much candy did he eat?
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